uk
because they have a Sexuality law
3. Would you expect a system with objects that have an equal amount of positive and negative
charge to have a large amount of electric potential energy? Why or why not?
Yes, I would expect a system with objects that have an equal amount of positive and negative charge to have a large amount of electric potential energy.
Why I will expect equal positive and negative chargeThis is because the electric potential energy of a system of charges is proportional to the product of the charges and inversely proportional to the distance between them. When positive and negative charges are brought close together, the electric potential energy of the system increases because the charges are attracted to each other due to their opposite charges.
As the charges get closer together, the electric potential energy of the system increases even more, because the charges are closer to each other and their attraction is stronger.
Therefore, when there are equal amounts of positive and negative charges in a system, the electric potential energy of the system will be high because there will be many oppositely charged pairs of particles that are close together and attracting each other strongly.
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What do you call burning organic waste. SAMBSIO?
Burning organic waste is often referred to as "incineration.
What is an "incineration?It is a process in which organic waste is burned at high temperatures to convert it into ash and gas. Incineration is often used as a method of waste management to reduce the volume of waste and to eliminate potentially harmful organic materials, such as medical waste or hazardous chemicals.
However, incineration can also produce air pollution and greenhouse gas emissions, and there are concerns about the impact of incineration on human health and the environment. As a result, many communities and governments are exploring alternative methods of waste management, such as recycling and composting.
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1. Two resistors R₁ (12 ohm) and R₁ (24 ohm) are
connected in series across a 6.0 V battery
of negligible internal resistance.
I
Draw a circuit diagram (to the right) and calculate:
The total resistance of the two resistors:
The total current flowing in the circuit:
The current flowing in R₁
The current flowing in R2
The total power consumed by R₁ and R₂
||
S
To calculate the total resistance of the two resistors in series, we add them:
R_total = R₁ + R₂ = 12 ohm + 24 ohm = 36 ohm
To calculate the total current flowing in the circuit, we use Ohm's Law:
I = V / R_total = 6.0 V / 36 ohm = 0.17 A
The current flowing in R₁ is the same as the total current, since they are in series:
I₁ = 0.17 A
The current flowing in R₂ is also the same, since they are in series:
I₂ = 0.17 A
To calculate the total power consumed by R₁ and R₂, we use the formula:
P = I²R
For R₁:
P₁ = I₁²R₁ = (0.17 A)²(12 ohm) = 0.35 W
For R₂:
P₂ = I₂²R₂ = (0.17 A)²(24 ohm) = 0.71 W
The total power consumed by both resistors is:
P_total = P₁ + P₂ = 0.35 W + 0.71 W = 1.06 W
Answer:
1. The total resistance of the two resistors:
Since the resistors are connected in parallel.
Total resistance = R₁ + R2
Total resistance = 12 ohm + 24 ohm
Total resistance = 36 ohms
2. The total current flowing in the circuit:
I = V/R
where ,
I is current,V is voltage (6.0 V) and r is resistance.I = 6.0 V /36 ohm
I = 0.17 amperes
3. The current flowing in R₁
Since he two resistance R₁ and R₂ are connected in series. The current flowing through these two will be equal to the total current flowing in the circuit.
Current flowing in R₁ = 0.17 A
4. The current flowing in R2 = total current flowing in the circuit:
The current flowing in R₂ = 0.17 A.
5. The total power consumed by R₁ and R₂
power consumed by R₁
P = I²R
P = (0.17)²/12
P = 0.0289/12
P = 0.35 (approx)
Now, power consumed by R₂
P = (0.17)² × 24
P = 0.0289 × 24
P = 0.70 (approx)
Total power = power consumed by R₁ + R₂
Total power = 0.35 + 0.70
Total power consumed = 1.05 W
Two vectors with a magnitude of 5 and 12 have a dot product equal to -6. Find the angle between the vectors to the
nearest degree.
the angle between vectors is 1
let, vector A,B and |A| =5 , |B| =12
According to dot product,
A.B = |A| |B| cos∝
-6 = 5x12cos∝
cos∝ = 0.99
nearly equal to 1
hence the angle between A and B is 1
What is the critical angle between polycarbonate (n1 = 1.58) and quartz (n2 = 1.41)?
24 degrees
46 degrees
63 degrees
75 degrees
Answer:
Approximately [tex]63.2^{\circ}[/tex].
Explanation:
The refractive index [tex]n[/tex] gives the ratio between the speed of light in vacuum and the speed of light in the given material. A larger refractive index means slower speed of light in the medium. In this question, the speed of light is slower in polycarbonate than in quartz.
When light travels from a material of low light speed to a material of higher light speed, the angle of refraction [tex]\theta_{r}[/tex] will exceed the angle of incidence [tex]\theta_{i}[/tex] (both with respect to the normal.)
The critical angle at this interface is the [tex]\theta_{i}[/tex] for which [tex]\theta_{r} = 90^{\circ}[/tex]. Note that since [tex]\theta_{i}\![/tex] cannot exceed [tex]90^{\circ}[/tex], [tex]\theta_{i} < \theta{r}[/tex] and light must be entering a faster medium from a slower medium. In this question, light would be entering quartz ([tex]n = 1.41[/tex], faster) from polycarbonate ([tex]n = 1.58[/tex], slower.)
By Snell's Law:
[tex]n_{i}\, \sin(\theta_{i}) = n_{r}\, \sin(\theta_{r})[/tex],
Where:
[tex]n_{i}[/tex] is the refractive index of the medium from which light enters, [tex]n_{r}[/tex] is the refractive index of the medium light enters into,[tex]\theta_{i}[/tex] is the angle of incidence at which light enters the interface (with respect to the normal), and[tex]\theta_{r}[/tex] is the angle of refraction at which light leaves the interface (also with respect to the normal.)Set [tex]n_{i} = 1.58[/tex] (polycarbonate), [tex]n_{r} = 1.41[/tex] (quartz), and [tex]\theta_{r} = 90^{\circ}[/tex]. Rearrange the equation and solve for [tex]\theta_{i}[/tex]:
[tex]\begin{aligned}\sin(\theta_{i}) &= \frac{n_{r}\, \sin(\theta_{r})}{n_{i}} \end{aligned}[/tex].
[tex]\begin{aligned}\theta_{i} &= \arcsin\left (\frac{n_{r}\, \sin(\theta_{r})}{n_{i}} \right) \\ &= \arcsin \left(\frac{1.41\, \sin(90^{\circ})}{1.58}\right) \\ &\approx 63.2^{\circ}\end{aligned}[/tex].
what is scientific learning
Answer:
the learning which is gained through observation and experimentation
Q8 (10pts)
You are working with cartesian unit vectors and ŷ in the plane of the board. Your friend is introducing a
new unit vector  = 0.52 + qŷ, but isn't sure what value q should have. Solve for q and make a
recommendation for what value they could use. If you determine more than one possible value for g,
mention this in your recommendation.
The length one vectors i, j, and k, which stand for conventional measure vectors in three different dimensions, contribute along the positive x, y, and z axes, respectively.
What are the Cartesian plane's unit vectors?Unit vectors i and j, which run along the x-axis and y-axis, respectively, define the Cartesian coordinate system. The radial unit vector r, which indicates the direction away from the origin, and the unit vector t, which is orthogonal (perpendicular) to the radial direction, together create the polar coordinate system.
Can a unit vector be created by adding two unit vectors?The size of the discrepancy is three if the product of two vectors with units is a unit vector. steps to determine the size of Consider a and b, two unit vectors whose total is a unit vector c.
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The velocity of three particles of masses 20g, 30g and 50g are 2i, 10j and 10k respectively. The velocity of the centre of mass the three particle) is
Answer:
The velocity of the center of mass (Vcm) of a system of particles can be calculated using the formula:
Vcm = (m1v1 + m2v2 + m3v3 + ... + mnvn) / (m1 + m2 + m3 + ... + mn)
where m1, m2, m3, ... mn are the masses of the particles and v1, v2, v3, ... vn are their velocities.
In this problem, we have three particles with masses of 20g, 30g, and 50g and velocities of 2i, 10j, and 10k respectively. We can convert the masses to kg to make the calculations easier:
m1 = 20g = 0.02kg
m2 = 30g = 0.03kg
m3 = 50g = 0.05kg
Using the formula above, we can calculate the velocity of the center of mass:
Vcm = (m1v1 + m2v2 + m3v3) / (m1 + m2 + m3)
Vcm = (0.02kg * 2i + 0.03kg * 10j + 0.05kg * 10k) / (0.02kg + 0.03kg + 0.05kg)
Vcm = (0.04i + 0.3j + 0.5k) / 0.1kg
Vcm = 0.4i + 3j + 5k m/s
Therefore, the velocity of the center of mass of the three particles is 0.4i + 3j + 5k m/s.
mark me brilliant
The short-term effects of marijuana can include __________.
Answer:
Explanation:
Increased heart rate
(•) How many electrins represent a Change of -70 mic?
The number of electrons represent a Change of -70 μC is 4.3 × 10¹⁴.
Electric charge is the physical property of matter that experiences force when it is placed in electric field. F = qE where q is amount of charge, E = electric field and F = is force experienced by the charge. there are two types of charges, positive charge and negative charge which are generally carried by proton and electron resp. like charges repel each other and unlike charges attract each other. the flow charges is called as current. Elementary charge is amount of charge a electron is having, whose value is 1.602 x 10⁻¹⁹ C
The value of elementary charge that is charge on 1 electron is 1.6× 10⁻¹⁹ C
-70 μC = N × 1.6× 10⁻¹⁹ C
N = -70 μC / 1.6× 10⁻¹⁹ C
N = -70 μC / 1.6× 10⁻¹⁹ C
N = 4.3 × 10¹⁴ electrons
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5) Find the electric current of this circuit:
( ) 5 A
( ) 8.5 A
( ) 3 A
( ) 10 A
The electric current in the circuit below is 3 A And the right option is C. 3A.
What is electric current?
Electric current is the rate of flow of charge in a circuit.
To calculate the electric current in the circuit below, we use the formula:
Formula:
I = V/R'.....................Equation 1Where:
I = Electric currentV = VoltageR' = Effective resistanceFrom the question,
Given:
V = 285 VR' = (20//20)+25+25+15R' = (20/2)+25+25+15+20R' = 10+25+25+15R' = 95 ohmsSubstitute these values into equation 1
I = 285/95I = 3 AHence, the right option is C. 3A
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What is the inertia of motion?
THE INABILITY OF A BODY TO CHANGE ITS STATE OF MOTION BY ITSELF ⚡
._Its_Ńämüđà_.The tendency of matter to resist changes in its velocity or direction of motion is known as the inertia of motion. One of the cornerstones of traditional mechanics, it is also known as the law of inertia.
What is the inertia of motion? This principle states that, without an external force, an object at rest tends to remain at rest and an object in motion tends to maintain its current speed and direction. This means that until a force acts on the moving item to cause it to modify its motion, it will continue to proceed in a straight path and at a constant speed due to inertia of motion.
An object's mass affects how much inertia of motion it possesses. An object's inertia of motion increases with bulk, making it more challenging to alter its speed or direction of motion. This feature of matter has a wide range of practical uses, including predicting how moving objects will behave and creating and building systems that need to precisely regulate motion and forces.
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_______, ________, and ________ are renewable resources.
biomass energy, hydropower, and coal energy
hydropower, coal energy, and wind energy
biomass energy, hydropower, and wind energy
biomass energy, coal energy, and wind energy
✎help its an exam✎ ☕︎if any links I WILL REPORT☕︎
Answer:
biomass energy, hydropower and wind energy
The softest sound a human ear can hear is at 0 dB (Io = 10-12 W/m2). Sounds above 130 dB cause pain. A particular student's eardrum has an area of A = 51 mm2. What is the most power, in watts, the ear can receive before the listener feels pain?
Im so confused on how to even start with this problem, my main question is how sound and power are related.
Answer:
Sound and power are related through intensity, which is the amount of power per unit area. The intensity of a sound wave is proportional to the square of its amplitude, which is a measure of how far the wave oscillates from its equilibrium position.
To solve this problem, you can use the formula for sound intensity:
I = P/A
where I is the intensity of the sound wave in watts per square meter (W/m^2), P is the power of the sound wave in watts (W), and A is the area of the eardrum in square meters (m^2).
You are given that the softest sound a human ear can hear is 0 dB, which corresponds to an intensity of 10^-12 W/m^2. You are also given that sounds above 130 dB cause pain. To find the maximum power the ear can receive before the listener feels pain, you can rearrange the formula for intensity to solve for power:
P = AI
where A is the area of the eardrum in square meters.
Substituting the given values, you get:
P = (51 x 10^-6 m^2)(10^-12 W/m^2 x 10^(130/10))
Simplifying this expression, you get:
P = 1.8 x 10^-3 W
Therefore, the most power the ear can receive before the listener feels pain is 1.8 x 10^-3 watts.
2.
How did Robert Boyle demonstrate that sound needs a medium through which to travel?
He found that an alarm watch in a vacuum did not make a
sound.
He found that the speed of sound varied under different
conditions.
MacBook Air
He found that an alarm watch under water did not make a
sound.
He recorded the time that distant pistol fire was heard.
Robert Boyle demonstrated that sound needs a medium through which to travel by observing that an alarm watch in a vacuum did not make a sound. Option 1 is the answer.
Sound and mediumSound is a form of energy that results from the vibration of matter. When an object vibrates, it creates sound waves that travel through a medium and can be perceived by the human ear.
A medium is a substance or material through which waves can travel. In the case of sound, air, water, and solids such as metal or wood can serve as a medium. Without a medium, sound cannot propagate because there are no molecules to vibrate and transmit the waves.
Robert Boyle demonstrated that sound needs a medium through which to travel by observing that an alarm watch in a vacuum did not make a sound. This led him to conclude that sound requires a medium, such as air or water, to propagate.
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Find the induced voltage in the conductor of the Figure below where B = 0.04 ay Tan
U = 2.5 sin 103t az m/s.
The induced e.m.f is -0.02sin(10^3t) (V) which is option D
What is Induced Voltage?Induced voltage refers to the electrical voltage that is generated in a conductor or coil due to a changing magnetic field.
This phenomenon is known as electromagnetic induction and is the basis for many electrical devices such as generators and transformers.
Induced voltage can be calculated using Faraday's law, which states that the induced electromotive force (EMF) is equal to the rate of change of magnetic flux.
The induced voltage can be either positive or negative depending on the direction of the changing magnetic field and the orientation of the conductor or coil.
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A tourist, who weighs 705 N, is walking through the woods and crosses a small horizontal bridge. The bridge rests on two concrete supports, one at each end. He stops on the bridge. Assume that the board of the bridge has negligible weight. Where is he standing if the magnitude of the vertical force that a concrete support exerts on the bridge at the near end is 470 N?
а)one-fifth of the way along the bridge b)one-fourth of the way along the bridge c)one-third of the way along the bridge d)one-half of the way along the bridge f)one-sixth of the way along the bridge
The tourist is standing one-third of the way along the bridge (option c).
How to solveLet's denote the distance from the near end of the bridge to the point where the tourist is standing as x and the total length of the bridge as L.
According to the equilibrium condition, the sum of the forces exerted on the bridge is zero.
So, the vertical forces exerted by the two concrete supports should be equal to the weight of the tourist:
F_near + F_far = 705 N
Given that the magnitude of the vertical force exerted by the near end support is 470 N, we can calculate the force exerted by the far end support:
F_far = 705 N - 470 N = 235 N
Now, we can use the moment equilibrium condition, considering moments around the near end support:
Moment = Force × Distance
For the tourist:
Moment_tourist = 705 N × x
For the far end support:
Moment_far = 235 N × L
For equilibrium, the sum of the moments should be zero:
Moment_tourist - Moment_far = 0
Substituting the moments:
705 N × x - 235 N × L = 0
Now, we can solve for x/L, which represents the fraction of the way along the bridge where the tourist is standing:
x/L = (235 N × L) / 705 N
x/L = 235/705 = 47/141 ≈ 1/3
So, the tourist is standing one-third of the way along the bridge (option c).
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Which definition describes a scientific theory?
OA. A claim, assumption, or method that is commonly thought to be
based on science but is not scientific
B. The pursuit of knowledge about the natural world and the
application of that knowledge
C. An explanation for a natural phenomenon that is based on facts
and is supported by the results of many experiments
D. A method of carefully examining an idea, using a variety of
thought processes to construct and evaluate knowledge
OA: A. A claim, assumption, or method that is commonly thought to be based on science but is not scientific.
Science is a systematic enterprise that builds and organizes knowledge in the form of testable explanations and predictions about the universe.
A claim, assumption, or method that is commonly thought to be based on science but is not scientific is called pseudoscience. Pseudoscience is often presented as being scientific, but it does not meet the criteria of science. For example, pseudoscience may be based on speculation or personal opinion, rather than on evidence. It may also be based on experiments that are not properly controlled or that are not reproducible.
Pseudoscience can be harmful because it can lead people to make decisions that are not based on evidence. For example, people who believe in pseudoscience may be more likely to avoid proven medical treatments or to use unproven treatments that could actually be harmful.
It is important to be able to identify pseudoscience so that you can make informed decisions about your health and your life. If you are unsure whether something is pseudoscience, you can ask a scientist or do some research to find out more.
A simple circuit exists with two identical light bulbs. The two light bulbs are in series with one another. If one light bulb is removed, which of the following would occur?
The current would increase.
The current would decrease.
The total resistance would increase.
The total voltage would decrease.
The current would decrease if one light bulb is removed from the circuit. Option B is correct.
If one light bulb is removed from a simple circuit with two identical light bulbs that are in series with one another, the total resistance in the circuit would increase. This is because the resistance of the circuit is proportional to the number of resistors in the circuit, and removing one bulb reduces the number of resistors in the circuit.
The total current in the circuit would decrease because the resistance has increased. This is because the current flowing through a circuit is inversely proportional to the resistance of the circuit according to Ohm's law. Option B is correct.
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When light is restricted to oscillating in a single plane, that is known as
diffraction
dispersion
interference
polarization
the answer is polarization.
4-What is the equivalent resistance of this circuit?
( )32 Ω
( )43 Ω
( )48 Ω
( )74 Ω
Explanation:
The parallel resistors ( 10 and 40 Ω) have an equivalent resistance of
( 40 * 10 ) / ( 40 + 10 ) = 8 Ω
Then you can add all of the series resistances to find the total resistance
15 + 25 + 8 Ω = 48 Ω
Remember V = IR ....then V/R = I
Current = V/ R = 55 v / 48 Ω = 1.15 A
HELP ASAP
The specific heat capacity of solid copper metal is 0.385 J/g-K. How many joules of heat are needed to raise the temperature of a 1.55-kg block of copper from 33.0 °C to 99.9 °C?
3.71 × 10^−6J
39.9 J
3.99 × 10^4J
0.00371 J
2.69 × 10^5 J
IT IS A CHEMISTRY QUESTION BUT WAS PUT WITH PHYSICS BY MISTAKE SORRY
Answer: 3.99•10⁴ J
Explanation:
The Heat Formula is: Q = m • C • ΔT
Your given C, m, T₀, and T
C = 0.385 J/g•K
m = 1.55 kg or 1,550 g
T₀ = 33.0 °C
T = 99.9 °C
(ΔT = T - T₀)
Your only remaining variable is Q, heat, so you can now plug in your values to solve.
Q = (1550)(0.385)(99.9 - 33.0)
(ΔT(°C) = ΔT(K) because the conversion is linear)
Q = 39,922.575 J
or
3.99•10⁴ J
What is the acceleration of a 650 kg racing camel that has a forward net force of 897N
Answer:
a = 0.724 m/s2
Explanation:
Known:
m = 650 kg
F = 897 N
a = ?
Use this formula:
F = ma
a = F/m
a = 650/897
a = 0.724 m/s2
A vehicle is being planned that is driven by a flywheel engine. It has to run for at least 30 minutes and develop a steady power of 500 W.
Answer:
To meet the requirements of running for at least 30 minutes and developing a steady power of 500W, the flywheel engine needs to have sufficient energy storage capacity and be capable of delivering a steady power output.
Assuming that the flywheel engine is 100% efficient (i.e., no energy losses due to friction, air resistance, or other factors), the energy storage capacity required can be calculated as follows:
Energy storage capacity = Power x Time
= 500W x 30min
= 15,000 watt-minutes or 250 watt-hours
This means that the flywheel engine needs to be capable of storing at least 250 watt-hours of mechanical energy.
78. A rocket takes off from Earth and reaches a speed of 100 m/s in 10.0 s. If the exhaust
speed is 1500 m/s and the mass of fuel burned is 100 kg, what was the initial mass of the rocket?
Answer:
5866.9 kg
Explanation:
We can use the conservation of momentum to solve this problem. The momentum of the rocket and fuel system is conserved, so:
Initial momentum = Final momentum
The initial momentum of the system is zero since the rocket is at rest initially. The final momentum is the momentum of the rocket after burning the fuel. We can find the final momentum using the rocket equation:
Δv = ve * ln(m0 / mf)
where Δv is the change in velocity (100 m/s), ve is the exhaust speed (1500 m/s), m0 is the initial mass of the rocket and fuel system (what we want to find), and mf is the final mass of the rocket and fuel system (m0 - 100 kg).
Solving for m0, we get:
m0 = mf * exp(Δv / ve) = (m0 - 100 kg) * exp(100 / 1500)
Simplifying this equation, we get:
m0 = 100 kg / (1 - exp(100 / 1500))
m0 = 5866.9 kg (rounded to four significant figures)
Therefore, the initial mass of the rocket and fuel system was approximately 5866.9 kg.
When a 102 g mass is hung on a spring it stretches 4.0 cm. The spring is then set in SHM by stretching it a further 6.0 cm and then releasing it.
a) Calculate the force required to stretch the spring 6.0 cm.
Answer:
1.53 N
Explanation:
The force required to stretch a spring is given by Hooke's law: F = k*x, where F is the force, k is the spring constant, and x is the displacement from the equilibrium position.
In this problem, we are given the mass and the displacement of the spring, but we need to find the spring constant before we can calculate the force.
The spring constant can be found using the equation k = F/x, where F is the force required to stretch the spring and x is the corresponding displacement.
Given that the 102 g mass stretches the spring by 4.0 cm, we have:
k = F/x = (mg)/x = (0.102 kg)(9.8 m/s^2)/(0.04 m) = 25.5 N/m
where g is the acceleration due to gravity.
Now, to calculate the force required to stretch the spring by 6.0 cm, we use the same equation with the new displacement:
F = kx = (25.5 N/m)(0.06 m) = 1.53 N
Therefore, the force required to stretch the spring by 6.0 cm is 1.53 N.
Ritalin and the pain medication Demerol have a high risk of dependence but may be used for medicinal purposes under a doctor's supervision. These substances are _____ of the CSA list.
Ritalin and Demerol are both controlled substances that have a high risk of abuse and dependence.
What is the list?Schedule II drugs are believed to have a high abuse potential that could lead to severe psychological or physical dependence. They do, however, occasionally have other known medical applications and can be prescribed by a licensed healthcare provider.
Ritalin is an example of a stimulant, whereas Demerol is an example of an opioid. Thus the drugs that have been mentioned here are drugs that are strictly controlled.
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6.1 Instantaneous communication. In your own words, explain why you
cannot send a message instantaneously using the mechanism of ex-
periment 6.1. If quantum mechanics were deterministic rather than
probabilistic, yet the distant atoms still always left from opposite
exits of a stern gerlach analyzer, would you then be able to send a message instantaneously?
What if the operator of the left-hand Stern-Gerlach analyzer were
somehow able to force his atom to come out of the + exit?
We can see here in one's own words, instantaneous communication would still not be conceivable even if quantum mechanics were predictable and the results of measurements could be predicted in advance. This is because, even if they were entangled, any attempt to change the state of one atom would inevitably change the state of the other atom.
What is quantum mechanics?The behavior and interaction of particles at the atomic and subatomic scales is the subject of quantum mechanics, a subfield of physics. It offers a mathematical framework for describing the probabilistic nature of physical occurrences in the microscopic world as well as the wave-particle duality of matter.
Until they are measured or observed, particles in quantum mechanics do not have fixed positions or attributes, and the measurement process might have an impact on the system being examined.
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Sean throws a baseball at an angle of 25 relative to the ground at a speed of 23m/s. What is the maximum height the ball will achieve? How long will it be in the air? How far away does Kelly need to be to catch the ball?
Answer:
To solve this problem, we can use the equations of motion for projectile motion:
- Vertical displacement: Δy = v₀sinθt - 1/2gt²
- Vertical velocity: v = v₀sinθ - gt
- Time of flight: T = 2v₀sinθ/g
- Horizontal displacement: Δx = v₀cosθt
where v₀ is the initial speed, θ is the angle of projection, g is the acceleration due to gravity (9.81 m/s²), t is the time of flight, and Δy and Δx are the vertical and horizontal displacements, respectively.
First, we can find the maximum height by using the equation for vertical displacement:
Δy = v₀sinθt - 1/2gt²
At the maximum height, the vertical velocity is zero, so we can find the time of flight by setting the vertical velocity equation to zero:
v = v₀sinθ - gt = 0
Solving for t, we get:
t = v₀sinθ/g
Substituting this into the equation for vertical displacement, we get:
Δy = v₀sinθ(v₀sinθ/g) - 1/2g(v₀sinθ/g)²
Simplifying, we get:
Δy = (v₀²sin²θ)/(2g)
Substituting the given values, we get:
Δy = (23²sin²25)/(2*9.81) ≈ 29.4 m
So the maximum height is approximately 29.4 meters.
Next, we can find the time of flight using the equation for time of flight:
T = 2v₀sinθ/g
Substituting the given values, we get:
T = 2*23*sin25/9.81 ≈ 3.5 s
So the time of flight is approximately 3.5 seconds.
Finally, we can find the horizontal displacement using the equation for horizontal displacement:
Δx = v₀cosθt
Substituting the given values, we get:
Δx = 23*cos25*3.5 ≈ 64.3 m
So Kelly needs to be approximately 64.3 meters away to catch the ball.
Would two observers standing on opposite sides of the truck hear the same pitch at the same time? Explain.
No, two observers standing on opposite sides of the truck would not hear the same pitch at the same time.
Why are sound wavelengths different?This is due to the fact that the sound waves produced by the truck's horn would move at a specific pace that would be constant for both viewers. The distance between the horn and each viewer, however, fluctuates as the truck passes the two people, resulting in a variation in the amount of time it takes for the sound waves to reach each person.
The Doppler effect, which comes from this change in time, changes how the sound waves are perceived in terms of pitch. To be more precise, the observer in front of the truck would hear a higher pitch (shorter wavelength) and the observer behind the truck would hear a lower pitch (longer wavelength).
Find out more on wavelength here: https://brainly.com/question/10728818
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