0.45 m far is the spring compressed if 150 N force is used in a spring has a spring constant of 330 N/m
Define spring constant
The stiffness of the spring is quantified by the spring constant, k. For various materials and springs, it varies. The spring becomes stiffer and more challenging to stretch as the spring constant increases.
It is used to assess the stability or instability of a spring and, consequently, the system it is meant to serve. Its expression is given by the formula k = - F/x, which reworks Hooke's Law. where x is the displacement caused by the spring, given in N/m, and k is the spring constant.
Force = spring constant * extension
150 = 330 * extension
Extension = 150/330
Extension = 0.45 m
To learn more about spring constant use:
https://brainly.com/question/14670501
#SPJ4
What is the resolution of the stopwatch the team coach uses to time the ball?
The resolution of a stopwatch is the smallest time interval that can be measured accurately by the device.
To determine the resolution of a stopwatch, one can look at the number of digits displayed on the stopwatch and the precision of the timing mechanism.
For example, if a stopwatch displays time in increments of 0.01 seconds, it has a resolution of 0.01 seconds or 10 milliseconds. If the stopwatch displays time in increments of 0.001 seconds, it has a resolution of 0.001 seconds or 1 millisecond.
The coach should choose a stopwatch with a resolution that is appropriate for the level of precision required for timing the ball accurately.
To know more about stopwatch, refer here:
https://brainly.com/question/13758413#
#SPJ11
Technician a says that there is often more than one circuit being protected by each fuse. Technician b says that more than one circuit often shares a single ground connector. Which technician is correct?
a. Technician a.
b. Technician b.
c. Both technician a and b.
d. Neither technician a and b
The correct answer is c. Both Technician A and B are correct.
Technician A is correct because there is often more than one circuit being protected by each fuse. Fuses are used to protect electrical circuits from excessive current, which can cause damage or fire. It is common for multiple circuits to be connected to a single fuse, as it simplifies the electrical system and reduces the number of fuses needed.
Technician B is also correct because more than one circuit often shares a single ground connector. A ground connector provides a path for excess electrical energy to flow safely to the ground, preventing damage to components and electrical shock. By sharing a ground connector, multiple circuits can utilize a common grounding point, further simplifying the electrical system and reducing the need for additional connectors.
Overall Both technicians are correct, as multiple circuits can be protected by a single fuse, and multiple circuits can share a single ground connector.
To Know more about fuse in electrical circuits click here:
https://brainly.com/question/31229645
#SPJ11
A radio wave transmits 2. 12 w/m2 average power per unit area. what is the peak value of the associated magnetic field? (μ0 = 4π × 10−7 t⋅m/a and c = 3. 00 × 108 m/s)
The peak value of the associated magnetic field is approximately 1.19×[tex]10^{6}[/tex] Tesla.
To find the peak value of the associated magnetic field, we can use the formula:
Peak magnetic field (B) = √(2P/μ0c)
Where P is the average power per unit area, μ0 is the permeability of free space, and c is the speed of light.
Substituting the given values, we get: B = √(2(2.12)/4π×[tex]10^{7}[/tex]×3×[tex]10^{8}[/tex])
Simplifying the expression, we get: B = √(1.41×[tex]10^{11}[/tex])
Therefore, the peak magnetic field is: B = 1.19×[tex]10^{6}[/tex] T
So the peak value of the associated magnetic field is approximately 1.19×[tex]10^{6}[/tex] Tesla.
To know more about magnetic field, refer here:
https://brainly.com/question/23096032#
#SPJ11
Assuming a total mass of 80 kg (bicycle plus rider), what must be the cyclist's power output to climb the same hill at the same speed?
The cyclist's power output must be equal to 784 N x speed. To climb the same hill at the same speed, the cyclist's power output must be equal to the gravitational force acting on the system (bicycle plus rider) multiplied by the speed at which they are moving.
The gravitational force can be calculated using the formula F = mg, where m is the total mass of the system (80 kg) and g is the acceleration due to gravity (9.8 [tex]m/s^{2}[/tex]). Therefore, the gravitational force acting on the system is 784 N (80 kg x 9.8 [tex]m/s^{2}[/tex]).
Assuming that the speed at which they are moving is constant, the power output required by the cyclist can be calculated using the formula P = F x v, where P is power, F is force, and v is velocity (speed). Therefore, the cyclist's power output must be equal to 784 N x speed.
For example, if the speed is 5 m/s, then the power output required by the cyclist would be 3920 watts (784 N x 5 m/s). However, it's important to note that this is a theoretical calculation and in reality, the power output required may be different due to factors such as air resistance, friction, and the gradient of the hill.
To know more about gravitational force, refer here:
https://brainly.com/question/12528243#
#SPJ11
an expert marksman aims a high-speed rifle directly at the center of a nearby target. assuming the rifle sight has been accurately adjusted for more distant targets, how will the bullet strike the target?
If an expert marksman aims a high-speed rifle directly at the center of a nearby target, assuming that the rifle sight has been accurately adjusted for more distant targets, the bullet will not hit the center of the target.
This is because the bullet will follow a curved path due to the effects of gravity and air resistance. These effects become more significant as the distance between the rifle and the target decreases. Therefore, the bullet will hit the target at a point below the center.
To compensate for this, the marksman needs to adjust the aim of the rifle slightly higher than the center of the target. This adjustment is known as "holdover," and it depends on several factors, including the distance between the rifle and the target, the weight and velocity of the bullet, and the effects of the environment, such as wind and temperature.
Therefore, to hit the center of the target at a nearby distance, the expert marksman needs to adjust the aim of the rifle slightly higher than the center of the target, compensating for the effects of gravity and air resistance on the bullet's trajectory.
To learn more about rifle click on,
https://brainly.com/question/10952871
#SPJ4
Rachel has an unknown sample of a radioisotope listed in the table. using a special technique, she is able to measure the mass of just the unknown isotope as 104.8 kg at 12:02:00 p.m. at 4:11:00 p.m. on the same day, the mass of the unknown radioisotope is 13.1 kg. which radioisotope is in the sample? potassium-42 nitrogen-13 barium-139 radon-220
The only possibility remaining is barium-139, which is a stable (non-radioactive) isotope and would not have undergone any radioactive decay during the time period between measurements. Hence, the unknown radioisotope in the sample is barium-139.
To determine which radioisotope is in the sample, we need to use the concept of radioactive decay and half-life. Radioactive decay is a process by which the nucleus of an unstable atom loses energy by emitting particles or radiation.
The rate of decay of a radioactive substance is described by its half-life, which is the time it takes for half of the substance to decay.
Let's calculate the half-life of each radioisotope listed in the table:
Potassium-42: Half-life of 12.4 hours
Nitrogen-13: Half-life of 10 minutes
Barium-139: Stable (non-radioactive)
Radon-220: Half-life of 55.6 seconds
From the given data, the sample of the unknown radioisotope had a mass of 104.8 kg at 12:02:00 p.m. and 13.1 kg at 4:11:00 p.m. on the same day, which is a time difference of 4 hours and 9 minutes.
Let's start by looking at the radioisotope with the longest half-life, which is potassium-42.
If the unknown radioisotope was potassium-42, its mass would have decreased by half during 12.4 hours, which is much longer than the 4 hours and 9 minutes between the measurements.
Therefore, we can eliminate potassium-42 as a possibility.
Next, let's consider nitrogen-13. If the unknown radioisotope was nitrogen-13, its mass would have decreased by half during 10 minutes. We can convert the time difference between measurements to minutes:
4 hours and 9 minutes = 249 minutes
Therefore, the number of half-lives during this time period would be:
249 / 10 = 24.9
This means that the mass of the sample would have decreased by a factor of [tex]2^{(24.9)[/tex], which is approximately [tex]2.7 * 10^7[/tex]. Starting from the initial mass of 104.8 kg, the final mass would be:
104.8 kg / [tex](2.7 * 10^7)[/tex] = [tex]3.9 * 10^{-6[/tex] kg
This is much smaller than the measured final mass of 13.1 kg, so we can eliminate nitrogen-13 as a possibility.
Finally, let's consider radon-220. If the unknown radioisotope was radon-220, its mass would have decreased by half during 55.6 seconds. We can convert the time difference between measurements to seconds:
4 hours and 9 minutes = 14940 seconds
Therefore, the number of half-lives during this time period would be:
14940 / 55.6 = 269
This means that the mass of the sample would have decreased by a factor of [tex]2^{269[/tex], which is approximately 6.8 x [tex]10^{80[/tex]. Starting from the initial mass of 104.8 kg, the final mass would be:
104.8 kg / ([tex]6.8 * 10^{80[/tex]) = [tex]1.54 * 10^{-79[/tex]kg
This is much smaller than the measured final mass of 13.1 kg, so we can eliminate radon-220 as a possibility.
To know more about radioisotope refer here
https://brainly.com/question/13076859#
#SPJ11
Answer: c
Explanation:
Can someone help me with questions 2 and 4 please ?
2. The angle of refraction of the material is 16.0°.
4. Index of refraction of the prism is n = 1.45.
How to determine angle and index of refraction?2. Using Snell's law:
n₁sinθ₁ = n₂sinθ₂
where n₁ = index of refraction of the first material (a), θ₁ = angle of incidence (13°), n₂ = index of refraction of the second material (1.60), and θ₂ = angle of refraction (unknown).
Plugging in the given values:
2.04sin13° = 1.60sinθ₂
θ₂ = sin⁻¹(2.04sin13°/1.60) = 16.0°
Therefore, the angle of refraction is θ = 16.0°.
4. Again, using Snell's law:
n₁sinθ₁ = n₂sinθ₂
where n₁ = index of refraction of water (1.33), θ₁ = angle of incidence (45°), n₂ = index of refraction of the prism (unknown), and θ₂ = angle of refraction (42°).
Plugging in the given values:
1.33sin45° = n₂sin42°
n₂ = sin45°/sin42° × 1.33 ≈ 1.45
Therefore, the index of refraction of the prism is n = 1.45.
Find out more on refractive angle and index here: https://brainly.com/question/14760207
#SPJ1
A uniform solid 5. 25-kg cylinder is released from rest and rolls without slipping down an inclined plane inclined at 18° to the horizontal. How fast is it moving after it has rolled 2. 2 m down the plane?.
The cylinder is moving at a speed of 2.12 m/s after it has rolled 2.2 m down the incline.
We can use conservation of energy to solve this problem. The initial potential energy of the cylinder is converted into kinetic energy as it rolls down the incline. At the bottom of the incline, the kinetic energy is equal to the potential energy it had at the top, neglecting any energy losses due to friction.
Let's begin by finding the potential energy of the cylinder at the top of the incline. The height of the incline can be found using trigonometry:
h = (2.2 m)sin(18°) = 0.667 m
The potential energy of the cylinder at the top of the incline is:
PE = mgh = (5.25 kg)(9.81 m/s²)(0.667 m) = 34.2 J
At the bottom of the incline, the kinetic energy of the cylinder is equal to its potential energy at the top:
KE = 34.2 J
The kinetic energy of a rolling cylinder is given by:
KE = (1/2)mv² + (1/2)Iω²
where m is the mass of the cylinder, v is its velocity, I is its moment of inertia, and ω is its angular velocity. For a cylinder rolling without slipping, we have:
v = ωR
where R is the radius of the cylinder. The moment of inertia of a solid cylinder about its central axis is:
I = (1/2)mr²
Substituting these expressions into the equation for kinetic energy and simplifying, we get:
KE = (1/2)mv² + (1/4)mv²
Solving for v, we find:
v = sqrt(8KE/3m)
Substituting in the values we found above, we get:
v = sqrt(8(34.2 J)/(3(5.25 kg))) = 2.12 m/s
To know more about conservation of energy refer here
https://brainly.com/question/13949051#
#SPJ11
You add 50 mL of water at 20°C to 200 mL of water at 70°C. What is the most
likely final temperature of the mixture?
OA. 60°C
о B. 45°C
C. 30°C
о D. 50°C
Answer:
Option (a)
Explanation:
Let c be the specific heat of water.
According to the principle of caloriemetry.
Heat lost by hot water = heat gained by cold water
200 x c x (70 - T) = 50 x c x (T - 20)
280 - 4T = T - 20
300 = 5T
T = 60 C
Explanation:
In a case whereby You add 50 mL of water at 20°C to 200 mL of water at 70°C the most likely final temperature of the mixture is A. 60°C.
How can this be calculated?Specific heat is the amount of heat energy required to raise the temperature of a unit mass of a substance by one degree Celsius (or one Kelvin). Different substances have different specific heats, which means that they require different amounts of heat energy to achieve the same temperature change.
The specific heat of water can be represented as c, following the principle of caloriemetry. (Heat lost by hot water) =( heat gained by cold water), thjen we can substitute the values as ;
[200 x c x (70 - T)] = [50 x c x (T - 20)]
[280 - 4T] = [T - 20]
[300 = 5T]
T = 60 C
Learn more about temperature at:
https://brainly.com/question/25677592
#SPJ1
what is moment of force(torque)?on what factor it depends?explain briefly
Answer:
it's the turning effect of force; the product of force and perpendicular distance from line of action of the force to the pivot . Depends on two factors: size of force applied and perpendicular distance from pivot to line of action of the force
During practice a soccer player kicks a ball and sends it rolling across the grass. Over a short distance the ball slows down and stops which two statements support the idea that energy is conserved in this example? Please Hurry
Energy cannot be created or destroyed, it can only be converted from one form to another. When the soccer player kicked the ball, they transferred their kinetic energy to the ball, causing it to move.
As the ball rolled across the grass, its kinetic energy was gradually converted into other forms of energy, such as frictional heat and sound energy, causing it to slow down and eventually stop.
The total amount of energy in a closed system remains constant. In this case, the system is the ball and the grass.
Even though the ball slowed down and stopped, the total amount of energy in the system remained the same, as the kinetic energy of the ball was converted into other forms of energy, such as heat and sound. Therefore, energy was conserved in this example.
To know more about kinetic energy, refer here:
https://brainly.com/question/26472013#
#SPJ11
Electric Field of Dreams
PART A) To begin, click the Add button to add one object to the system. Observe the electric field around this charged object. You may move the object around the field by dragging it with your cursor. While the arrows indicate the direction of the electric field around the charge, the length of the arrows indicates the field strength. Based on your observations of the field, what is the charge on this object? Give your reasoning. PART B) Set the charged object in motion by dragging it and releasing it. What do you observe about the behavior of the field lines in the vicinity of the object?
PART C) Add another charged object to the electric field by clicking the Add button again. What is the charge of this new object? Give your reasoning. What do you observe about the behavior of both the objects as well as the field lines in the vicinity of both the objects?
PART D) Click the Remove button to remove one of these objects, and then click the Properties button to set properties for the next object you will add. Just change the sign of the charge to (+), then click Done. Click Add to add this new object to the field. Now what do you observe about the behavior of the two objects and the field lines that surround them?
PART E) With the two oppositely-charged objects still in the field, apply an external field to the system: In the External Field box, simply drag the dot until it becomes an electric field vector in some direction. Observe, describe, and explain the behavior of the two objects
Charged objects in an electric field experience attractive or repulsive forces, as shown by the electric field lines. An external electric field can also cause charged objects to move in a specific direction.
PART A) After adding the charged object to the system, the electric field lines around it are observed to be directed radially outwards from the object, indicating a positive charge.
The length of the field lines also indicates that the charge on the object is strong. This is because the field lines are closer together and longer, which indicates that the strength of the electric field is higher. Therefore, the charge on the object is positive.
PART B) When the charged object is set in motion, the field lines move along with the object, remaining in close proximity to it. The lines become compressed in the front of the object and elongated behind the object, indicating that the electric field is stronger in front of the moving object than behind it.
PART C) When another charged object is added to the field, the electric field lines between the two objects behave as though they are attracted to one another.
This indicates that the new object has an opposite charge to the original object, resulting in attractive forces between the two. The field lines of both objects tend to converge, indicating that the field strength has increased due to the addition of a second charged object.
PART D) After changing the sign of the charge on the new object and adding it to the field, the two objects move towards each other, as the forces between them are now attractive.
The electric field lines between the two objects also converge, indicating a stronger field strength between the two objects.
PART E) When an external electric field is applied to the system, the two objects experience a net force in the direction of the external field, and they move in that direction.
The field lines between the two objects also become elongated in the direction of the external field. This occurs because the electric field of the external field vector superimposes the field of the two objects, and it becomes the dominant field.
In summary, adding charged objects to an electric field creates attractive or repulsive forces between them, which is indicated by the behavior of the electric field lines.
An external electric field can also influence the behavior of charged objects in an electric field, causing them to move in a particular direction.
To know more about electric field refer here:
https://brainly.com/question/27897603#
#SPJ11
A particle (q = -4. 0 C, m = 5. 0 mg) moves in a uniform magnetic with a velocity having a magnitude of 2. 0 km/s. And a direction that is 50° away from that of the magnetic field. The particle is observed to have an acceleration with a magnitude of 5. 8 m/s2. What is the magnitude of the magnetic field?
The area of contact between each tire and the ground is[tex]0.000562 m^2.[/tex]
The total weight supported by the ground is the sum of the weight of the rider and the bike:
W_total = 715 N + 98 N = 813 N
Since the weight is supported equally by the two tires, each tire supports half of the total weight:
W_per_tire = W_total / 2 = 406.5 N
The pressure in each tire is given as gauge pressure, which is the pressure above atmospheric pressure. Therefore, the absolute pressure in each tire is:
P_abs = P_gauge + P_atm
where P_atm is the atmospheric pressure, which we assume to be[tex]1.01* 10^5 Pa[/tex] (standard atmospheric pressure at sea level).
So, the absolute pressure in each tire is:
[tex]P_abs = 6.20 * 10^5 Pa + 1.01 *10^5 Pa = 7.21 *10^5 Pa[/tex]
The area of contact between each tire and the ground can be calculated using the equation:
F = P × A
where F is the force on the tire, P is the pressure, and A is the area of contact.
For each tire, we can write:
W_per_tire = P × A
Solving for A, we get:
A = W_per_tire / P
Plugging in the values we know, we get:
[tex]A = 406.5 N / 7.21 *10^5 Pa = 0.000562 m^2[/tex]
To know more about atmospheric pressure refer here
https://brainly.com/question/28310375#
#SPJ11
Identify one water parameter that could be measured to determine whether raw sewage is present in surface waterways.
The presence of raw sewage in surface waterways can be determined by measuring biochemical oxygen demand (BOD). This is a measure of the amount of oxygen used by microbes in decomposing organic matter.
In water contaminated with raw sewage, there is an abundance of organic matter that is broken down by bacteria, resulting in high levels of BOD. High BOD levels indicate an increased amount of organic matter in the water, indicating the presence of raw sewage. In addition, when BOD levels are high, the oxygen levels in the water decrease, which can be detrimental to fish and other aquatic organisms.
Therefore, measuring BOD is an effective way to determine if raw sewage is present in surface waterways.
Know more about biochemical oxygen demand here
https://brainly.com/question/31199693#
#SPJ11
If your core temperature becomes colder, it is more difficult for oxygen to dissociate from hemoglobin at any po2.
When the core temperature of the body decreases, the metabolic rate also decreases, leading to less production of carbon dioxide.
This results in a decrease in the partial pressure of CO2 in the blood, which leads to an increase in blood pH.
A higher pH means that the blood becomes more alkaline, which makes it more difficult for oxygen to dissociate from hemoglobin.
The reason for this is that oxygen binds to hemoglobin more tightly at a higher pH, which is known as the Bohr effect.
Thus, as the core temperature becomes colder, the oxygen-hemoglobin dissociation curve shifts to the left, making it more difficult for oxygen to be released from hemoglobin and making it less available to the tissues that require it.
To know more about Bohr effect, refer here:
https://brainly.com/question/15970643#
#SPJ11
A man pushes a 10 kg block on a straight horizontal road by applying
a force of 5 N. As a result, he moves the block a distance of 10 meters
with an acceleration of 0. 2 m/s2. Calculate the work done by the
man on the block during motion.
The man does 50 J of work on the block during the motion.
To calculate the work done by the man on the block, we can use the formula:
Work = Force x Distance x Cos(theta)
where theta is the angle between the force and the displacement vectors. In this case, the force and displacement are in the same direction, so theta is 0.
Given that the force applied by the man is 5 N and the distance moved by the block is 10 meters, the work done by the man can be calculated as:
Work = 5 N x 10 m x Cos(0) = 50 J
Therefore, the man does 50 J of work on the block during the motion.
To know more about force, refer here:
https://brainly.com/question/13191643#
#SPJ11
in which of the following situations does the car have a nonzero acceleration?multiple select question.the car is on cruise control traveling around a curve.the car starts from rest and speeds up to the speed limit moving in a straight line.the car is on cruise control traveling in a straight line.the car is parked.the car is traveling at the speed limit and then comes to a complete stop while traveling around a curve.the car is traveling at the speed limit, and then it comes to a complete stop in a straight line.
The car has a nonzero acceleration in the following situations:
The car starts from rest and speeds up to the speed limit moving in a straight line.The car is traveling at the speed limit and then comes to a complete stop while traveling around a curve.The car is traveling at the speed limit, and then it comes to a complete stop in a straight line. Options 1, 2, and 3 are correct.Acceleration is defined as the rate of change of velocity with respect to time. Therefore, any change in the velocity of the car, whether it is an increase, decrease, or change in direction, results in a nonzero acceleration. When the car starts from rest and speeds up or comes to a stop, its velocity changes, resulting in a nonzero acceleration.
Similarly, when the car comes to a complete stop while traveling around a curve or in a straight line, its velocity changes direction, resulting in a nonzero acceleration. However, when the car is on cruise control and traveling at a constant speed in a straight line, its velocity is not changing, and therefore, its acceleration is zero. Options 1, 2, and 3 are correct.
To know more about the Cruise control, here
https://brainly.com/question/13607082
#SPJ4
In a vacuum, electromagnetic radiation of short wavelengths.
In a vacuum, electromagnetic radiation of short wavelengths refers to high-energy radiation. According to the electromagnetic spectrum, shorter wavelengths correspond to higher frequencies and higher energies.
At the short wavelength end of the spectrum, you have gamma rays, which have the shortest wavelengths and highest energy among all forms of electromagnetic radiation. Gamma rays have wavelengths less than 10 picometers (pm) or frequencies greater than 10 exahertz (EHz).
Gamma rays are highly energetic and can penetrate matter deeply. They are often produced in nuclear reactions, radioactive decay, and high-energy particle interactions.
It's important to note that in a vacuum, all forms of electromagnetic radiation, including gamma rays, travel at the speed of light. The properties of electromagnetic radiation, such as wavelength and frequency, are intrinsic characteristics that remain constant regardless of the medium through which they propagate.
To know more about electromagnetic refer here
https://brainly.com/question/5015556#
#SPJ11
A car starting from rest accelerates in a straight line path at a constant rate of 2.5m/s².how far will it travel in 12 seconds
The car will travel a distance of 180 meters in 12 seconds.
To determine the distance traveled by the car, we can use the equation of motion:
Distance (d) = Initial velocity (v₀) × time (t) + 0.5 × acceleration (a) × time squared (t²)
Given:
Initial velocity (v₀) = 0 m/s (starting from rest)
Acceleration (a) = 2.5 m/s²
Time (t) = 12 seconds
Plugging in the values into the equation:
Distance (d) = 0 × 12 + 0.5 × 2.5 × 12²
Distance (d) = 0 + 0.5 × 2.5 × 144
Distance (d) = 0 + 0.5 × 2.5 × 144
Distance (d) = 180 meters
To know more about equation of motion refer here
https://brainly.com/question/14355103#
#SPJ11
A boat's propeller has a rotational inertia of 4. 0 kg · mº. After a constant torque is applied for 12 s, the
rad
rad
propeller's angular speed changes from a clockwise 6. 0 to a counterclockwise 6. 0
S
S
What was the torque applied to the propeller?
The equation to calculate torque applied to a propeller is [tex]\Delta\omega = (\tau\Delta t) / I[/tex]. Using this equation, the torque applied to a propeller is found to be 5.3 N-m when the change in angular velocity is 16 rad/s, the time interval is 12 s, and the rotational inertia is 4 kg-m².
The torque applied to the propeller can be determined using the equation:
[tex]\Delta\omega = (\tau\Delta t) / I[/tex]
where [tex]\Delta\omega[/tex] is the change in angular velocity, τ is the torque applied, Δt is the time interval, and I is the rotational inertia.
The change in angular velocity is 8 - (-8) = 16 rad/s. Substituting the given values, we get:
[tex]16 rad/s = (\tau \times 12 s) / 4 kg-m^2[/tex]
Solving for τ, we get:
[tex]\tau = (16 rad/s \times 4 kg-m^2) / 12 s[/tex]
[tex]\tau[/tex] = 5.3 N-m
Therefore, the torque applied to the propeller is 5.3 N-m.
In summary, the torque applied to the boat's propeller can be determined using the formula [tex]\Delta\omega = (\tau\Delta t) / I[/tex], where [tex]\Delta\omega[/tex] is the change in angular velocity, [tex]\tau[/tex] is the torque applied, [tex]\Delta t[/tex] is the time interval, and I is the rotational inertia.
Substituting the given values and solving for [tex]\tau[/tex], we get the torque applied to be 5.3 N-m. Therefore, option B is the correct answer.
To know more about torque refer here:
https://brainly.com/question/28220969#
#SPJ11
Complete Question:
A boat's propeller has a rotational inertia of 4 kg-m2. After a constant torque is applied for 12s, the propeller's angular speed changes from a clockwise 8 rad/s to counter-clock wise 8 rad/s. What was the torque applied to the propeller?
A. 4.3 N-m
B. 5.3 N-m
C. 6.3 N-m
D. 7.3 N-m
Protostars are difficult to observe because :__________.
a. the protostar stage is very short. they are surrounded by cocoons of gas and dust.
b. the protostar stage is very short, they are surrounded by cocoons of gas and dust, and they radiate mainly in the infrared.
c. they are all so far away that the light hasn't reached us yet.
d. they radiate mainly in the infrared.
Protostars are difficult to observe because : they are heavily obscured by dust and gas, making them hard to detect in visible light and other forms of electromagnetic radiation.
What is electromagnetic?Electromagnetic (EM) radiation is a form of energy that is produced by the movement of electrically charged particles. It is a type of energy that can travel through space at the speed of light, and is made up of both electric and magnetic fields. EM radiation is created by the acceleration of charged particles, such as electrons, protons, and ions. EM radiation is found in a broad spectrum of wavelengths, which includes everything from radio waves to gamma rays. EM radiation has many practical uses, such as in television, radio, and mobile phones. It is also used in medical treatments such as radiation therapy and X-ray imaging. EM radiation is also used in communication between spacecraft and the Earth.
To learn more about electromagnetic
https://brainly.com/question/1408043
#SPJ4
A plate falls vertically to the floor and breaks up into three pieces, which slide along the floor. Immediately after the impact, a 320-g piece moves along the x-axis with a speed of 2. 00 m/s and a 355-g piece moves along the y-axis with a speed of 1. 50 m/s. The third piece has a mass of 100 g. In what direction does the third piece move? you can neglect any horizontal forces during the crash.
The third piece moves with a velocity of 1.62 m/s in the direction opposite to 36.9 degrees from the positive x-axis.
Since the plate falls vertically to the floor, there is no initial velocity in the x or y direction.
Therefore, we can use conservation of momentum to determine the velocity of the third piece.
The total momentum of the plate before the impact is zero, since there is no initial velocity. The total momentum of the three pieces after the impact must also be zero, since there are no external forces acting on the system. Therefore, we can write:
m1v1 + m2v2 + m3v3 = 0
where m1, m2, and m3 are the masses of the three pieces, and v1, v2, and v3 are their respective velocities.
We know the masses and velocities of two of the pieces:
m1 = 320 g = 0.320 kg
v1 = 2.00 m/s
m2 = 355 g = 0.355 kg
v2 = 1.50 m/s
Substituting these values into the equation above and solving for v3, we get:
m3v3 = -(m1v1 + m2v2)
v3 = -(m1v1 + m2v2) / m3
Plugging in the values we know, we get:
v3 = -((0.320 kg)(2.00 m/s) + (0.355 kg)(1.50 m/s)) / 0.100 kg
v3 = -1.62 m/s
So the third piece moves in the opposite direction of the sum of the velocities of the other two pieces. Its velocity has a magnitude of 1.62 m/s, and it moves in the direction opposite to the vector sum of the velocities of the other two pieces. We can use the Pythagorean theorem to find the magnitude and direction of this vector:
[tex]|v| = \sqrt{(vx^2 + vy^2)}[/tex]
[tex]|v| = \sqrt{((2.00 m/s)^2 + (1.50 m/s)^2)[/tex]
|v| = 2.50 m/s
θ = atan(vy / vx)
θ = atan(1.50 m/s / 2.00 m/s)
θ = 36.9 degrees
To know more about conservation of momentum refer here
https://brainly.com/question/3920210#
#SPJ11
5) assume that a typical lighting strike delivers -25 [c] to the earth, and the average voltage drop between the cloud and ground (voltage of cloud minus voltage of ground) is -75 [mv] during the time the charge is delivered. assume that a lightning strike hits the earth from the cloud every 10 [s], and that the thunderstorm lasts one hour. assume that somehow all of the energy in all of the lightning strikes could be captured. how long would this stored energy be able to supply a city, assuming that the supply rate is the same as that coming from a large power plant, rated at 1,000 [mw]?
The stored energy from all the lightning strikes during the thunderstorm would only be able to supply a city for 0.000675 seconds at the same rate as a large power plant.
The energy delivered by a lightning strike can be calculated using the formula E = VQ, where E is the energy, V is the voltage, and Q is the charge. Therefore, the energy delivered by a lightning strike is:
E = (-75 x 10⁻³V) x (-25 C) = 1.875 J
The total energy delivered by lightning strikes during the thunderstorm can be calculated by multiplying the energy delivered by each strike by the number of strikes, which is 3600/10 = 360.
Therefore, the total energy delivered by lightning strikes during the thunderstorm is:
E_total = 1.875 J/strike x 360 strikes = 675 J
Assuming that all of this energy can be captured and stored, it can supply a city for a certain amount of time. The time that the stored energy can supply the city can be calculated using the formula T = E/P, where T is the time, E is the energy, and P is the power.
Therefore, the time that the stored energy can supply a city is:
T = 675 J / 1,000 MW = 0.000675 s
As a result, the accumulated energy from all of the lightning strikes throughout the thunderstorm could only power a city for 0.000675 seconds at the same rate as a huge power plant.
To know more about the Lightning strike, here
https://brainly.com/question/15242337
#SPJ4
A gasoline engine takes in 1. 61 10 J of heat and delivers 3700 J of work per cycle. The heat is obtained by burning gasoline with a heat of combustion of 4. 60 10 J/g. (a) What is the thermal efficiency? (b) How much heat is discarded in each cycle? (c) What mass of fuel is burned in each cycle? (d) If the engine goes through 60. 0 cycles per second, what is its power output in kilowatts? In horsepower?
(a). The thermal efficiency is approximately 22.9%.
(b). The heat discarded in each cycle is approximately 1.6063 × [tex]10^6[/tex] J.
(c). The mass of fuel burned in each cycle is approximately 0.035 kg.
(d). The engine's power output is approximately 222 kW or 297.6 hp.
To solve this problem, let's use the following formulas and conversions:
Thermal efficiency (η) = (Useful work output / Heat input) * 100%Heat input = Heat of combustion * Mass of fuel burnedPower output (P) = Work done per cycle * Number of cycles per second1 kilowatt (kW) = 1000 watts (W)1 horsepower (hp) = 745.7 watts (W)Given:
Heat input (Qin) = 1.61 × [tex]10^6[/tex]J
Work done per cycle (W) = 3700 J
Heat of combustion of gasoline (H) = 4.60 × [tex]10^7[/tex] J/kg
Cycles per second (f) = 60.0 cycles/s
(a) To calculate the thermal efficiency:
Thermal efficiency (η) = (Useful work output / Heat input) * 100%
η = (W / Qin) * 100%
η = (3700 J / 1.61 × 10^6 J) * 100%
η ≈ 0.229 * 100%
η ≈ 22.9%
(b) To calculate the heat discarded in each cycle:
Heat discarded = Heat input - Useful work output
Heat discarded = Qin - W
Heat discarded = 1.61 × [tex]10^6[/tex] J - 3700 J
Heat discarded ≈ 1.6063 × [tex]10^6[/tex] J
(c) To calculate the mass of fuel burned in each cycle:
Heat input = Heat of combustion * Mass of fuel burned
Mass of fuel burned = Heat input / Heat of combustion
Mass of fuel burned = 1.61 × [tex]10^6[/tex] J / 4.60 × [tex]10^7[/tex] J/kg
Mass of fuel burned ≈ 0.035 kg
(d) To calculate the power output in kilowatts and horsepower:
Power output (P) = Work done per cycle * Number of cycles per second
P = W * f
P = 3700 J * 60.0 cycles/s
P = 2.22 × [tex]10^5[/tex] J/s
Power output in kilowatts:
P(kW) = P / 1000
P(kW) ≈ 2.22 × [tex]10^5[/tex] J/s / 1000
P(kW) ≈ 222 kW
Power output in horsepower:
P(hp) = P / 745.7
P(hp) ≈ 2.22 × [tex]10^5[/tex] J/s / 745.7
P(hp) ≈ 297.6 hp
To know more about thermal efficiency refer here
https://brainly.com/question/13039990#
#SPJ11
A box is suspended by a rope. when a horizontal force of 100 n acts on the box, it moves to the side until the rope is at an angle of 20 degree with the vertical. the weight of the box is.
The weight of the box is approximately 273.45 N.
To determine the weight of the box, we will consider the equilibrium of forces acting on the box when it is displaced to its final position. At this point, there are three forces acting on the box: the weight (W), tension in the rope (T), and the horizontal force (F = 100 N). These forces can be represented using vectors and trigonometry.
Since the box is in equilibrium, the net force acting on it is zero. Therefore, the horizontal and vertical components of the tension in the rope must balance the horizontal force and the weight of the box, respectively. Using the angle provided (20 degrees), we can calculate the components of the tension in the rope as follows:
Horizontal component: T_horizontal = T * sin(20°)
Vertical component: T_vertical = T * cos(20°)
To balance the forces, we have:
T_horizontal = F => T * sin(20°) = 100 N
T_vertical = W => T * cos(20°) = W
Now, divide the first equation by the second equation:
(T * sin(20°)) / (T * cos(20°)) = (100 N) / W
Simplify the equation using the trigonometric identity tan(θ) = sin(θ) / cos(θ):
tan(20°) = (100 N) / W
Now, solve for W:
W = (100 N) / tan(20°)
W ≈ 273.45 N
The weight of the box is approximately 273.45 N.
For more about weight:
https://brainly.com/question/23312072
#SPJ11
CASE BASED QUESTION
if two or more resistance or connected in such a way that the same potential difference get applied to each of them,then they are said to be connected in the parallel. The current flowing through the two resistors in parallel is , however not the same. When we have to or more resistances joined in parallel to one other then the same current get additional paths to flow and the overall resistance decreases. The equivalent resistance is given by 1/Rp=1/R1 + 1/R2 +1/R3.
(1)Three resistances,2 ohm , 6 ohm , 8 ohm are connected in parallel , then the equivalent resistance is
(2) a wire of resistance 12 ohm is cut into 3 equal pieces and then twisted their ends together then the equivalent resistance is
When three resistances (2 ohms, 6 ohms, 8 ohms) are connected in parallel their equivalent resistance is 24/13 ohms, and when a wire of resistance 12 ohms is cut into 3 equal pieces its equivalent resistance is 4/3 ohms.
(1) To find the equivalent resistance of three resistances (2 ohms, 6 ohms, 8 ohms) connected in parallel, we can use the formula 1/Rp = 1/R1 + 1/R2 + 1/R3.
1/Rp = 1/2 + 1/6 + 1/8
1/Rp = 6/24 + 4/24 + 3/24
1/Rp = 13/24
To find Rp, take the reciprocal:
Rp = 24/13
So, the equivalent resistance is 24/13 ohms.
(2) When a wire of resistance 12 ohms is cut into 3 equal pieces, each piece will have a resistance of 12/3 = 4 ohms. If these pieces are connected in parallel, we can use the same formula as before:
1/Rp = 1/4 + 1/4 + 1/4
1/Rp = 3/4
Taking the reciprocal:
Rp = 4/3 ohms
So, the equivalent resistance is 4/3 ohms.
Know more about equivalent resistance here:
https://brainly.com/question/21082756
#SPJ11
The small capillaries in the lungs are in close contact with the alveoli. A red blood cell takes up oxygen during the 0. 75 s that it squeezes through a capillary at the surface of an alveolus. What is the diffusion time for oxygen across the 2. 0- μm -thick membrane separating air from blood? Assume that the diffusion coefficient for oxygen in tissue is 1. 1×10−11m2/s?
The diffusion time for oxygen across the 2.0-μm-thick membrane separating air from blood is approximately 3.64 × 10^-5 s.
The Oxygen Diffusion Time.The diffusion time for oxygen across the 2.0-μm-thick membrane can be calculated using Fick's law of diffusion:
J = -D * (ΔC/Δx)
Where:
J = rate of diffusion
D = diffusion coefficient
ΔC/Δx = concentration gradient
Assuming that the concentration gradient across the membrane is constant, we can simplify the equation to:
t = x^2 / (2D)
Where:
t = diffusion time
x = thickness of the membrane
Substituting the given values:
t = (2.0 × 10^-6 m)^2 / (2 × 1.1 × 10^-11 m^2/s)
t = 3.64 × 10^-5 s
Therefore, the diffusion time for oxygen across the 2.0-μm-thick membrane separating air from blood is approximately 3.64 × 10^-5 s.
Learn more on diffusion here https://brainly.com/question/94094
#SPJ1
most people have known since elementary school that the north pole of one magnet is attracted to the south pole of another magnet. it is also commonly known that the needle of a compass is itself a magnet. a photo of a compass. in view of this, explain why the north pole of the compass needle seems to be attracted to the north pole of the planet earth.
This is the reason the compass needle, despite having a north-seeking magnet, points in the direction of the geographic north pole.
Hi! The phenomenon you're referring to can be explained through the concepts of magnetism and Earth's magnetic field. Although it may seem that the north pole of a compass needle is attracted to the Earth's north pole, it's actually attracted to the magnetic south pole of the planet.
This attraction occurs because the Earth itself acts as a giant magnet, generating a magnetic field with poles that are approximately aligned with the geographic poles. The Earth's magnetic south pole is near the geographic north pole, and the magnetic north pole is near the geographic south pole.
As you mentioned, the needle of a compass is a magnet with its own north and south poles. According to the laws of magnetism, opposite poles attract each other.
Consequently, the north pole of the compass needle is attracted to the magnetic south pole of the Earth, which is near the geographic north pole. This is why the compass needle points towards the geographic north pole, despite it being a north-seeking magnet.
To learn more about : magnet
https://brainly.com/question/26257705
#SPJ11
-
Which identification of the variables is correct?
A. The volume of the solution and the concentration of the solution are being changed between the two solutions, but the number of
solute particles is being held constant.
B. The volume of the solution and the number of solute particles are being changed between the two solutions, but the concentration
of the solution is being held constant.
C. The number of solute particles and the concentration of the solution are being changed between the two solutions, but the volume
is being held constant.
D. The number of solute particles is being changed between the two solutions, but the volume and concentration of the solution is
being held constant.
To determine which identification of the variables is correct, let's analyze each option step-by-step:
A. If the volume and concentration change, but the number of solute particles remains constant, it means that the ratio of solute to solvent is changing. This is not possible if the number of solute particles is constant.
B. If the volume and number of solute particles change, but the concentration remains constant, it means that the ratio of solute to solvent remains the same. This is possible and indicates that both solutions have the same concentration.
C. If the number of solute particles and the concentration change, but the volume remains constant, it means that the amount of solute in the solution is changing without affecting the volume. This scenario is not possible as adding or removing solute particles would change the concentration.
D. If the number of solute particles changes but the volume and concentration remain constant, this would mean that the ratio of solute to solvent is unchanged despite the change in solute particles. This is not possible.
Based on the analysis, the correct identification of the variables is option B. The volume of the solution and the number of solute particles are being changed between the two solutions, but the concentration of the solution is being held constant.
To know more about variables refer here
https://brainly.com/question/17344045#
#SPJ11
What are the effects of elastic limit on a structure built on a fault line?
The elastic limit is the maximum stress that a material can withstand without undergoing permanent deformation.
When a structure is built on a fault line, the elastic limit plays a crucial role in determining its ability to withstand seismic forces.
If the stress caused by an earthquake exceeds the elastic limit of the structure's materials, the structure may experience permanent deformation, which can lead to compromised structural integrity and potential failure.
In contrast, if the stress remains within the elastic limit, the structure can return to its original shape once the stress is removed, maintaining its structural integrity.
In conclusion, the elastic limit affects a structure built on a fault line by determining its resilience to seismic forces.
Ensuring that the stress remains within the elastic limit can help maintain the structure's integrity and minimize damage during earthquakes.
To learn more about elastic, refer below:
https://brainly.com/question/13479805
#SPJ11