It took 1.82 seconds for the rock to come to a stop when the force of -1.1 N was applied.
What is force?
We can use the formula:
force = mass x acceleration
To find the acceleration of the rock when the force is applied. Since we know the mass of the rock is 1kg, we can rearrange the formula to solve for acceleration:
acceleration = force / mass
We know that the force applied to the rock is -1.1 Newtons (N), since it is bringing the rock to a stop. Thus:
acceleration = -1.1 N / 1 kg = -1.1 m/s²
The negative sign indicates that the acceleration is in the opposite direction of the motion of the rock.
Next, we can use the formula:
velocity = initial velocity + acceleration x time
To find the time it takes for the rock to come to a stop. We know the initial velocity of the rock is 2 m/s and the final velocity is 0 m/s (since it comes to a stop). Thus:
0 m/s = 2 m/s + (-1.1 m/s²) x time
Solving for time:
time = (0 m/s - 2 m/s) / (-1.1 m/s²) = 1.82 seconds
Therefore, it took 1.82 seconds for the rock to come to a stop when the force of -1.1 N was applied.
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how are dry cells maintained
if 54 j of work are needed to stretch a spring from 14 cm to 20 cm and 90 j are needed to stretch it from 20 cm to 26 cm, what is the natural length of the spring?
The natural length of the spring is 17 cm. Given that a 54J of work is needed to stretch a spring from 14 cm to 20 cm and 90J of work is needed to stretch it from 20 cm to 26 cm.
Let L be the natural length of the spring.
Initial length of the spring = 14 cmFinal length of the spring = 26 cmTotal energy required to stretch the spring from natural length to 26 cm = 54 + 90 = 144 J
Total extension of the spring = (26 - L) cmTotal energy required to stretch the spring from natural length to 20 cm = (54 / 144) × 90 = 33.75 J
Total extension of the spring = (20 - L) cm
Now we need to equate the total extensions of the spring to find the natural length of the spring.(20 - L) + (26 - L) = 12cm46 - 2L = 12L = 17 cm
Therefore, the natural length of the spring is 17 cm.
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a satellite in a circular orbit around earth experiences a centripetal acceleration of 8.62 m/s2 . the tangential speed of the satellite is 7.65 x 103 m/s. the radius of earth is 6.38 x 106 m. what is altitude of the satellite?
The altitude of the satellite is 2.24 × 10⁷ m.
Given, the centripetal acceleration of the satellite is a = 8.62 m/s²,
the tangential speed of the satellite is v = 7.65 × 10³ m/s,
the radius of the earth is R = 6.38 × 10⁶ m
We can find the altitude (h) of the satellite from the relation;
a = (v² / R) + (v² / h)
where, v is the tangential velocity, R is the radius of the Earth, h is the altitude of the satellite
Substitute the given values to calculate h;
a = (v² / R) + (v² / h)
8.62 = (7.65 × 10³)² / (6.38 × 10⁶) + (7.65 × 10³)² / h
h = (7.65 × 10³)² / (8.62) - (6.38 × 10⁶)h = 2.24 × 10⁷ m
Therefore, the altitude of the satellite is 2.24 × 10⁷ m.
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the mean lifetime of an electronically excited state in a molecule is 5 ns. if this state emits at 500 nm, calculate the uncertainty in the emitted wavelength
The uncertainty in the emitted wavelength is approximately: 0.013 nm.
The mean lifetime of an electronically excited state in a molecule is 5 ns. If this state emits at 500 nm, calculate the uncertainty in the emitted wavelength.
The uncertainty in the emitted wavelength can be calculated using the relation given below,Δλ = h/(4πmc)τ
Here, Δλ is the uncertainty in the emitted wavelength is Planck’s constant
m is the mass of an electron
c is the speed of light in vacuum
t is the lifetime of the excited state
Therefore, substituting the given values we have,Δλ = (6.626 × 10^-34)/(4π × 9.1 × 10^-31 × 3 × 10^8 × 5 × 10^-9)≈ 0.013 nm (approximately)
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While the platform is rotating, the hanging mass remains attached to the test mass and is not removed from the platform. - True - False
False is the proper response. The magnitude of velocity is constant in a uniform circular motion. Therefore, the assertion is true.
How does the frequency or number of revolutions change when the washer's bulk rises?
The frequency increased with increasing bulk. The second formula can also be used to describe this relationship. The equation demonstrates the direct connection between acceleration and mass in the presence of constant load and diameter. The outcome is that an increase in mass causes an increase in velocity.
A uniformly moving item has a centripetal force that is constantly directed toward the center of the circle it is traveling in. When the applied circular path force is released, the item will travel on a single direction parallel to the curving route at a certain location.
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1.
(a)
Beams of red light of wavelength 700 nm and green light of wavelength 550 nm are incident
normally on a diffraction grating which has 5000 lines per cm. Bright spots (maxima) are
observed on a distant screen.
LIT
(i) State one use of a diffraction grating.
You can use it in microwaves
(ii) Show clearly that the grating spacing, d is 2.0 x 10 m.
20×10....
(iii)
53-9°
Show clearly which of the two colours would give a second order maximum at an
angle of diffraction between 33° and 34°.
131
11 S
LIT
wavelength....
The green light of wo
give a second order maximum because
It has a shorter wavelength so the
diffraction will meet on the obstacks.
(b) (i) Show that the maximum order possible is given by
d
2
275
would
121
Del
(ii) Determine the maximum order for
(I) the green light,
550 =
2
(II) the red light.
700nm
3.50
2
Assuming that the diffracted beams from both lights only overlap at n = 0, determine
the total number of bright spots which can be observed.
Nu
A diffraction grating can be used, for example, to divide light into its many wavelengths or colours, enabling spectroscopic examination. We have the following by applying the grating spacing formula, d = 1/N, where N is the number of lines per unit length:
When red light with a wavelength of 625 nm generally incident?Normally, red light with a wavelength of 625 nm is impinge on an optical diffraction grating with a line density of 2 105 m
Is a diffraction grating typically the site of an electromagnetic wave incident?A diffraction grating often experiences an electromagnetic wave impinge on it. A second-order maximum is generated at a 30° angle to the grating's normal. There are 5000 lines per cm on the grating.
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footballer shoots ball has mass (m) with force (F), ball gains velocity from force its value is 6m/s. the ball stops after 10sec. So magnitude of momentum of ball after 3.333 sec. is....... kg.m/sec. ( choose the best answer)
3m
4m
6m
8m
The magnitude of momentum of the ball after 3.333 sec is 10F/3 kg.m/sec. None of the options provided match this answer exactly.
What is Momentum?
Momentum is a physical property of an object that describes its motion. It is defined as the product of an object's mass and velocity, and it is a vector quantity, which means it has both magnitude and direction.
The magnitude of momentum of the ball after 3.333 sec can be calculated using the equation:
p = m * v
where p is momentum, m is mass, and v is velocity.
Given that the ball gains a velocity of 6m/s from the force and stops after 10 seconds, we can calculate the mass of the ball as:
v = F * t / m
6 = F * 10 / m
m = 10F / 6
m = 5F / 3
Now, we can calculate the momentum of the ball after 3.333 sec using the above equation:
p = m * v
p = (5F / 3) * (6 * 3.333 / 10)
p = (5F / 3) * 2
p = 10F / 3
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The wavelenght of a balmer series line for hydrogen is found to be 656. 5nm. What percentage difference is found between this and the wavelenght predicted by?
There is a 34.9% difference between the observed wavelength and the predicted wavelength for the Balmer series line of hydrogen.
The Balmer series refers to the set of spectral lines in the visible part of the electromagnetic spectrum that are emitted by excited hydrogen atoms when they transition from higher energy levels to the second energy level. The formula for calculating the wavelength of the Balmer series lines is given by:
1/λ = [tex]R_H (1/2^2 - 1/n^2)[/tex]
where λ is the wavelength of the spectral line, R_H is the Rydberg constant for hydrogen [tex](1.0974 * 10^7 m^-1)[/tex], and n is an integer greater than 2 that represents the higher energy level from which the electron transitions.
For the Balmer series line with a wavelength of 656.5 nm, we can calculate the predicted wavelength using the formula above with n=3:
1/λ_predicted = [tex]R_H (1/2^2 - 1/3^2)[/tex]
[tex]= 1.0974 * 10^7 m^{-1} (1/4 - 1/9)[/tex]
= 4.862 x 10^-7 m[tex]= 4.862 * 10^{-7} m[/tex]
= 486.2 nm
The percentage difference between the predicted and observed wavelengths can be calculated using the formula:
% difference = |(observed wavelength - predicted wavelength) / predicted wavelength| x 100%
% difference = |(656.5 nm - 486.2 nm) / 486.2 nm| x 100%
= 34.9%
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given that organic molecules need to react in order to produce life, this suggests we should search for worlds in the solar system that have a. rocky surfaces b. an atmosphere c. organic molecules on their surfaces d. either an atmosphere, or a surface or subsurface liquid medium such as water, or both.
Given that organic molecules need to react in order to produce life, this suggests we should search for worlds in the solar system that have:
A rocky surface, as these surfaces provide the solid foundation needed for the organic molecules to bond and react together.An atmosphere, as this provides the organic molecules with the air needed for their reactions.Organic molecules on their surfaces, as these molecules are necessary for life to form.Either an atmosphere, or a surface, or subsurface liquid media such as water, or both, as these are necessary components for the reactions of organic molecules to take place.
Organic molecules are chemical compounds that include carbon and hydrogen atoms that are produced by living organisms. These molecules play a crucial role in the formation of life on Earth. Life on Earth began about 4 billion years ago with the formation of organic molecules in the oceans. In the search for life beyond Earth, scientists are searching for signs of organic molecules in other worlds in the solar system.
There are several criteria for finding life on other planets. The first criterion is that the planet must have either an atmosphere, or a surface or subsurface liquid media such as water, or both. This is because organic molecules need to react in order to produce life. Without an atmosphere or a liquid medium, the organic molecules will not react, and life cannot form.
The second criterion is that the planet must have organic molecules on its surface. Organic molecules can be produced by living organisms, or they can be produced by non-living processes such as meteorite impacts or volcanic activity. If organic molecules are found on the surface of a planet, it suggests that the planet has the potential to support life.
Therefore, we should search for worlds in the solar system that have either an atmosphere, or a surface or subsurface liquid media such as water, or both.
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3. A 16.2 kg object is at rest on an inclined plane. If the inclined plane makes an angle with the horizontal of 25.0°, what is the Normal force acting on the object?
The normal force acting on the object is equal to 145.8 N.
What is Normal Force?
Normal force is the force that a surface exerts on an object in contact with it, perpendicular to the surface. It is called the "normal" force because it is perpendicular ("normal" is a mathematical term meaning perpendicular) to the surface of contact. The normal force is equal in magnitude and opposite in direction to the component of the weight of the object that is perpendicular to the surface.
Assuming the inclined plane is frictionless, the only force acting on the object perpendicular to the plane is the normal force. The normal force (N) is equal and opposite to the force of gravity (mg) on the object, where m is the mass of the object and g is the acceleration due to gravity.
Using trigonometry, we can find the component of the force of gravity acting perpendicular to the inclined plane:
F_perpendicular = mg cos(theta)
where theta is the angle of inclination. In this case, theta = 25.0°, so we have:
F_perpendicular = (16.2 kg)(9.81 m/[tex]s^{2}[/tex]) cos(25.0°) ≈ 145.8 N
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A 22 kg child is riding a 5.8 kg bike with a velocity of 4.5 m/s to the northwest. A) what is the total momentum of the child and the bike together? Answer in units of kg • m/s.
B) What is the momentum of the child? Answer in units of kg • m/s.
Total kinetic energy of a ostrich/child/bike is given by ptotal (= postrich + pchild/bike => 27.8 kg/m/s - 4.5 kg/m/s = 23.3 kg/m/s (in J). A body with mass m kg travelling at a speed of v m/s has momentum M = m*v kg*m/s.
So what is a good example of momentum in plain language?Momentum can be thought of as a brain's "power" or the force that it can apply to another body while it is moving. For instance, a bowling ball with a heavy mass that is moving very slowly (low velocity) may have the same momentum as a baseball with a little mass that is thrown swiftly (high velocity).
Which moves forward more, a car or a truck?More force is being applied to the truck than to the automobile. In motion, inertia is referred to as momentum. Momentum is calculated as the sum of an entity's mass and velocity. A tow van has far more momentum compared to a car driving at the exact same speed due to its increased weight.
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Sound travelling at 330ms encounters the wind blowing in the same direction at 40ms ¹. Calculate the distance the sound will cover in a time of 15s.
Wind was blowing in the exact same direction meets the sound traveling at 330 ms at a distance of 40 ms. Determine the distance the noise will travel in 15 seconds.
What on Earth generates wind?
Almost all of the winds on Earth have a direct link to the Sun. Air rises and falls as the Earth's surface is unevenly warmed by the Sun, creating high and low areas of air pressure. As pressure increases, the surrounding air fills in to replenish it as the pressure drops, creating wind.
What part does wind play in the development of landforms?
Such winds only occur at the lowest layers of the troposphere and have a localized extent. Since it is the primary geomorphic force responsible for sculpting different landforms, the wind system drives the evolution of different landforms on the earth's surface. Further information on the Erosion and Diagenetic effect of winds can be found here.
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which is more likely to interfere with compass readings, ac current in your refrigerator or dc current when you start your car? explain.
AC current in your refrigerator is more likely to interfere with compass readings than DC current when you start your car.
Compass readings are interfered with by the magnetic fields that AC current and DC current generate. AC current generates a continuous magnetic field that oscillates, while DC current generates a steady magnetic field. Because of the oscillations, AC magnetic fields are much more likely to interfere with a compass than DC magnetic fields.
AC current's magnetic field is of greater intensity and flux density than DC current. The magnetic field generated by a refrigerator's AC motor is one of the main sources of electromagnetic interference that can disturb magnetic compass readings, particularly those in automobiles.
AC motors use a lot of energy, which produces magnetic fields that can interfere with the compass readings. The electrical system of a car uses DC, which generates a relatively steady magnetic field. When a car's engine is started, the battery is subjected to high levels of electrical noise, which can affect other electrical systems in the vehicle.
However, the interference produced is not strong enough to affect the compass reading when compared to the magnetic field produced by the AC motor in a refrigerator.
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kayla has two magnets. she would like to know how much magnetic energy is stored in each one. what would be the best way for her to determine which magnet has the most magnetic energy?
Kayla can determine which magnet has the most magnetic energy by performing an experiment using a magnetic pendulum.
What is a magnet?
A magnet is an object that has a magnetic field surrounding it. The magnetic field is what allows magnets to attract or repel other magnets. Magnets can be natural or man-made. A magnetic pendulum is a simple device that consists of a magnet hanging on a string.
When the magnet is brought near to another magnet, it will either be attracted or repelled. By measuring the amount of force required to move the magnet, Kayla can determine which magnet has the strongest magnetic field and therefore the most magnetic energy.
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lobster traps are designed so that a lobster can easily get in, but cannot easily get out. can a diathermic wall be created that allows heat to flow through in one direction only? explain.
Lobster traps are designed so that a lobster can easily get in but cannot easily get out. It is possible to create a diathermic wall that allows heat to flow through in one direction only. Diathermic walls are barriers that permit heat to flow through them in both directions.
Such walls are used in industrial applications to separate hot and cold regions of a system or for temperature control. However, it is possible to create a diathermic wall that allows heat to flow through in only one direction.
Heat moves from hot to cold regions in nature due to the second law of thermodynamics. However, if the diathermic wall is made up of alternate layers of high- and low-conductivity materials, heat will flow more quickly in one direction than in the other.
The side with the high-conductivity material will have a lower temperature than the side with the low-conductivity material. This temperature difference generates an electric current that opposes the flow of heat in the opposite direction, effectively blocking it.
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How do you find the open circuit voltage and short circuit current?
We can find open circuit voltage by disconnecting one end of the circuit from the other end and short circuit current by connecting the two ends of the circuit together.
To find the open circuit voltage and short circuit current of an electrical circuit, the following steps should be taken:
Measure the open circuit voltage by disconnecting one end of the circuit from the other end. This will create an open circuit, meaning that no current will flow. The voltage reading at this point is the open circuit voltageMeasure the short circuit current by connecting the two ends of the circuit together. This will create a short circuit, meaning that the current will be able to flow. The current reading at this point is the short circuit current.In an electrical circuit, the open circuit voltage is the voltage between two points in a circuit when no current is flowing. The short circuit current is the current that flows when the two points in a circuit are connected, creating a short circuit. By measuring the open circuit voltage and short circuit current, we can understand how a circuit works.
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a typical incandescent light bulb emits about 1 j of visible light energy every second. estimate the number of visible photons emitted per second.
The number of visible photons emitted per second is 2.51 × [tex]10^{18}[/tex]
A typical incandescent light bulb emits approximately 1 J of visible light energy per second.
The formula to calculate the energy of a photon is
E = hf
Where:
E is the energy of the photon.
h is Planck's constant (6.626 × [tex]10^{-34}[/tex] joule-seconds).
f is the frequency of the photon.
As we know, energy is equal to power multiplied by time.
We can write this as:
E = P × t
Thus, we can express the power in terms of energy as:
P = E/t
Therefore, the energy of a photon can be written as
E = (P × t) / n
where: n is the number of photons that were emitted over the time interval t.
So, the number of photons emitted can be estimated using the following formula:
n = (P × t) / E
Substituting the values: P = 1 J/t
E = 4.19 × [tex]10^{-19}[/tex]J/photon (wavelength is about 500 nm)
f = c / λ = 3 × 108 / 500 × 10-9 = 6 × 1014 Hz
E = hf = 6.626 × [tex]10^{34}[/tex] × 6 × 1014 = 3.98 × [tex]10^{-19}[/tex] J
n = (P × t) / E= (1 J/s × 1 s) / (3.98 × [tex]10^{-19}[/tex] J/photon)= 2.51 × [tex]10^{18}[/tex] photons/s
Therefore, a typical incandescent light bulb emits approximately 2.51 × [tex]10^{18}[/tex] photons per second.
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when he displacement of a mass on a spring is half the amplitude of the oscillation, what fraction of the mass's energy is kinetic energy?
Answer:
PE = 1/2 K x^2 potential energy
when x = A
PEt = 1/2 k A^2 total potential energy
If x = A / 2
PE 1/2= 1/2 k A^2 / 4
PE1/2 / PEt = 1/4
Thus the PE at 1/2 the displacement is 1/4 the total
Since PE + KE = constant
3/4 the mass's energy will be KE at 1/2 the amplitude
a fast pitch softball player moves her hand in a circular arc. if she releases the ball with a speed of 34.3 m/s and a centripetal acceleration of 1960 m/s/s. how long is her arm (meters) from the pivot point in her shoulder.
The length of the fast pitch softball player's arm from the pivot point in her shoulder when she releases the ball with a speed of 34.3 m/s and a centripetal acceleration of 1960 m/s/s is 0.6 meters.
Given:
Speed of the ball = 34.3 m/s, Centripetal acceleration = 1960 m/s²
Let the length of her arm from the pivot point in her shoulder = L
We know that, The centripetal acceleration of an object can be calculated by the formula as follows :
a = v²/r
Where, v is the speed of an object, r is the radius of the circle.
a = (v × v)/r
1960 = (34.3 × 34.3)/r
1960 = 1176.49/r
r = 1176.49/1960
r = 0.6 m
Therefore, length of her arm from the pivot point in her shoulder is 0.6 m.
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When does an object moving in a straight line at constant speed have a non-zero angular momentum?
a) never
b) always
c) sometimes
Answer: Yes, it can be possible that an object have non zero angular momentum.
Explanation:
There is a concept of frame of reference.
When your frame of reference is not on that straight line where the object is moving then the object will have non zero angular momentum .
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The weight of a dum bell is 500 n. It is lifted over a bodybuilder’s head at a distance of 0.7 meters. What is the work done by the bodybuilder on the dum bell?
350 J
714.2 J
500 J
1.4 x 10-3 J
Explanation:
W = F * d <==== ( Force * distance)
500 N * .7 m = 350 J
a 28-kg k g chandelier hangs from a ceiling on a vertical 4.0-m m -long wire. part a what horizontal force would be necessary to displace its position 0.12 m m to one side?
The required horizontal force to displace the position of a 28-kg chandelier is 33 N.
Here's how to calculate it:
Given: Mass of chandelier, m = 28 kg, Length of the wire, l = 4.0 m, Displacement of position, d = 0.12 m
When the chandelier is in a state of equilibrium, the tension T in the wire and the weight W of the chandelier must be equal.
The tension in the wire is equal to the force that is pulling the chandelier upwards. This force is acting at an angle of 90 degrees to the horizontal component of the tension in the wire.
Here, we can see that the chandelier is moving in a horizontal direction, so we need to calculate the horizontal component of the tension in the wire.
Taking moments about the point where the wire is attached to the ceiling: Anti-clockwise moments = clockwise moments
W * l = F * dF = (W * l)/d
Where W = mg (mass x gravity)
F = (28 kg x 9.8 m/s² x 4 m)/0.12 m= 33 N
The horizontal force required to displace the position of the chandelier 0.12 m to one side is 33 N.
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thomas edison was the first to create a portable motion picture camera and projection system. true false
True. Thomas Edison was the first to create a portable motion picture camera and projection system in 1889.
The Kinetograph was the name of the first movie camera. It was the first camera that could capture moving images on a strip of film. George Eastman (later of Eastman Kodak Camera) created celluloid film in 1889, which was utilized in Edison's Kinetoscope and Kinetograph.
Edison developed the camera as well as its viewer and put on multiple demonstrations of his invention. The first still photographers, Joseph Nicephone Niepce and Louis Daguerre of France, were responsible for discovering the photographic principles upon which the camera was founded. His invention, known as the Kinetoscope, consisted of a camera, film, and projection system.
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A runner is finishing up the last leg of a 5K run. Identify and explain which organelle(s) would be heavily involved in providing the runner’s cells with energy.
The mitochondria play a significant role in supplying the final leg of a 5K runner's cells with energy.
Which organelle would be crucial in supplying energy to runners' cells?The mitochondria are a key organelle in supplying the runner's cells with energy throughout the final portion of a 5K run. Since mitochondria are in charge of manufacturing ATP (adenosine triphosphate), the currency of the cell, through the process of cellular respiration, they are referred to as the "powerhouses" of the cell. The need for ATP rises during activity, and the mitochondria work harder to supply this need by converting glucose and other fuel molecules into ATP.
As a result, the cells of runners would need to have a high level of mitochondrial activity in order to give them the energy they need to finish the race.
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a ladybug walks around a circular track that has a diameter of 3 m. if it moves around the entire track for at an angular velocity of 5 rad/s for 12s, what is the angular displacement? what is angular acceleration? lab
The angular acceleration of a ladybug walks around a circular track that has a diameter of 3 m is 0.625 rad/s².The angular displacement is 60 rad.
Given that,The diameter of the circular track = 3m,Angular velocity of the ladybug = 5 rad/s.The time for which the ladybug moves = 12s. The formula for angular displacement is given by:
angular displacement = angular velocity × time (in seconds) = 5 rad/s × 12 s = 60 rad
So, the angular displacement is 60 rad.The formula for angular acceleration is given by:
angular acceleration = change in angular velocity / time taken (in seconds)
The initial angular velocity of the ladybug is zero, since it was at rest initially.The final angular velocity of the ladybug can be found using the formula:v = r × ωwhere,v = final linear velocity,r = radius of the circular track = 1.5m, ω = angular velocity= 5 rad/sv = 1.5 × 5 = 7.5 m/s
Therefore, the final angular velocity of the ladybug is 7.5 m/s.The change in angular velocity is given by:change in angular velocity = final angular velocity - initial angular velocity= 7.5 rad/s - 0 rad/s= 7.5 rad/s.The time taken for the ladybug to reach its final velocity is 12 seconds.Hence, the angular acceleration is given by:
angular acceleration = change in angular velocity / time taken (in seconds) = 7.5 rad/s / 12 s = 0.625 rad/s²
Therefore, the angular acceleration is 0.625 rad/s².
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a 0.45-t magnetic field is perpendicular to a circular loop of wire with 53 turns and a radius of 15 cm. if the magnetic field is reduced to zero in 0.12 s, what is the magnitude of the induced emf?
According to Faraday's Law of Electromagnetic Induction, the magnitude of the induced EMF is directly proportional to the rate of change of magnetic flux with time, in this case the magnitude of the induced EMF in the wire is 14.05 V
The magnetic field through a loop of wire changes when it is exposed to a changing magnetic field. This induces an EMF in the wire.
The magnitude of the induced EMF is given by: ε = - N (dφ / dt)
where, N = number of turns of the wire in the loop
φ = magnetic flux
The rate of change of magnetic flux through the loop with time is given by:
[tex]\frac{d\phi}{dt}= \frac{d}{dt}(BAcos\theta) = AB (\frac{d}{dt}cos\theta)[/tex]
where,
B is the magnetic field,
A is the area of the loop, and
θ is the angle between the plane of the loop and the direction of the magnetic field.
In this case, a circular loop of wire with 53 turns and a radius of 15 cm is exposed to a perpendicular magnetic field of magnitude 0.45 T.
Therefore, the magnetic flux through the loop is given by:
φ = BA = πr²B= π (0.15 m)² (0.45 T) = 0.0318 Wb
When the magnetic field is reduced to zero in 0.12 s, the rate of change of magnetic flux with time is:
dφ/dt = -φ / t = (-0.0318 Wb) / (0.12 s) = -0.265 T/s
Therefore, the magnitude of the induced EMF in the wire is:ε = - N (dφ / dt) = - (53) (-0.265) V = 14.05 V
Therefore, the magnitude of the induced EMF in the wire is 14.05 V.
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what is the angular momentum about the origin of a particle with a mass of 500 g when it is located at
The angular momentum of the particle about the origin is (8t + 6) i - 20t j - (10t + 6) k.
The angular momentum of a particle is given by the cross product of its position vector and its linear momentum vector,
L = r x p
where L is the angular momentum, r is the position vector, and p is the linear momentum.
m = 500 g = 0.5 kg
r = 4t + 3j - 2k m
v = 5t - 2j + 4k m/s
To find the linear momentum,
p = mv
Substituting the given values,
p = (0.5 kg) x (5t - 2j + 4k) = 2.5t kg m/s - j kg m/s + 2k kg m/s
To find the position vector in terms of its components,
r = 4t i + 3j - 2k
Taking the cross product of r and p,
L = r x p
= (4t i + 3j - 2k) x (2.5t i - j + 2k)
= (8t + 6) i - 20t j - (10t + 6) k
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--The complete question is, What is the angular momentum about the origin of a particle with a mass of 500 g when it is located at r = 4t + 3j - 2k m and moving at 5t - 2j + 4k m/s?--
a person puts a bottle of juice in a refrigerator. the juice gets cooler while it is in the refrigerator. as the juice gets cooler, what happens to the amount of energy the juice has?
This occurs when airborne water vapour bumps up against the surface of a cold water bottle, causing the water vapour to condense into droplets.
What elements influence the transport of heat between warm and cool substances?The heat transported to or from a substance depends on three things, according to experiments: the change in temperature of the substance, its mass, and some physical characteristics associated to its phase.
What mechanism moves thermal energy from a colder to a warmer area?Examples of heat engines that move energy from a cold place to a hot area include refrigerators and heat pumps.
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What measurements are taken at the scene of the accident that helps them understand the motion of the car and the reaction of the driver?
Answer:
tire tracks? I'm not sure
a 10 kg mass is connected to a nail on a frictionless table by a massless string 1.3 m long. there is no appreciable friction between the nail and the string. if the tension in the string is 51 n while the mass moves in a uniform circle on the table, how long does it take for the mass to make one complete revolution?
The time it takes for the 10 kg mass to make one complete revolution on the table, given a tension of 51 N in the string, is 1.6 seconds. This value is calculated using the formula [tex]T = 2π√(r/g)[/tex] where r = 1.3 m and g = 9.8 m/s^2.
When a 10 kg mass is connected to a nail on a frictionless table by a massless string 1.3 m long, and the tension in the string is 51 N, the mass moves in a uniform circular motion. To find the time it takes for the mass to make one complete revolution, we use the formula [tex]T = 2π√(r/g)[/tex], where T is the time period, r is the radius of the circular path, and g is the acceleration due to gravity. Since the motion is on a table, the acceleration is zero and we can use the formula as is, with r = 1.3 m and [tex]g = 9.8 m/s^2[/tex]. Substituting these values, we get T = 1.6 seconds. Therefore, it takes 1.6 seconds for the mass to make one complete revolution on the table.
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