A bullet of mass M1 is fired towards a block of mass m2 initially at rest at the edge of a frictionless table of height h as in the figure. The initial speed of the bullet is vi . Consider two cases, a completely inelastic one and an elastic one,where the bullet bounces off the block. inelastic case elastic case a bullet inside no bullet inside A B A' B' What is the ratio of the flight time; i.e., tAB tA′B′ ?

Answers

Answer 1

The ratio of time of flight for inelastic collision to elastic collision is 1:2

The given parameters;

mass of the bullet, = m₁mass of the block, = m₂initial velocity of the bullet, = u₁initial velocity of the block, = u₂

Considering inelastic collision, the final velocity of the system is calculated as;

[tex]m_1u_1 + m_2u_2 = v(m_1 + m_2)\\\\m_1u_1 + 0 = v(m_1 + m_2)\\\\v= \frac{m_1u_1}{m_1 + m_2} \ -- (1)\\\\[/tex]

The time of motion of the system form top of the table is calculated as;

[tex]v = u + gt\\\\v = 0 + gt\\\\v = gt\\\\t= \frac{v}{g} \\\\t_A = \frac{m_1u_1}{g(m_1 + m_2)} \ \ ---(2)[/tex]

Considering elastic collision, the final velocity of the system is calculated as;

[tex]m_1u_1 + m_2 u_2 = m_1v_1 + m_2v_2\\\\m_1u_1 + 0 = m_1v_1 + m_2v_2\\\\m_1 u_1 = m_1v_1 + m_2v_2[/tex]

Apply one-directional velocity

[tex]u_1 + (-v_1) = u_2 + v_2\\\\u_1 -v_1 = 0 + v_2\\\\v_1 = v_2 -u_1[/tex]

Substitute the value of [tex]v_1[/tex] into the above equation;

[tex]m_1u_1 = m_1(v_2 - u_1) + m_2 v_2\\\\m_1u_1 = m_1v_2 -m_1u_1 + m_2v_2\\\\2m_1u_1 = m_1v_2 + m_2v_2\\\\2m_1u_1= v_2(m_1 + m_2)\\\\v_2 = \frac{2m_1u_1}{m_1+ m_2} \ --(3)[/tex]

where;

[tex]v_2[/tex] is the final velocity of the block after collision

Since the bullet bounces off, we assume that only the block fell to the ground from the table.

The time of motion of the block is calculated as follows;

[tex]v_2 = v_0 + gt\\\\v_2 = 0 + gt\\\\t = \frac{v_2}{g} \\\\t_B = \frac{v_2}{g} \\\\ t_B = \frac{2m_1u_1}{g(m_1 + m_2)} \ \ ---(4)[/tex]

The ratio of time of flight for inelastic collision to elastic collision is calculated as follows;

[tex]\frac{t_A}{t_B} = \frac{m_1u_1}{g(m_1 + m_2)} \times \frac{g(m_1 + m_2)}{2m_1u_1} \\\\\frac{t_A}{t_B} = \frac{1}{2} \\\\t_A:t_B = 1: 2[/tex]

Learn more about elastic and inelastic collision here: https://brainly.com/question/7694106


Related Questions



Tom pulls a muscle. He has to stop working to get an ice pack. Claudia continues to work and soon finishes her pile.
Power is the rate of doing work. It's calculated by dividing work by time (power = work = time). Who had more power in
this scenario? Why?

Answers

Answer:

Tom

Explanation:

if for example both their work is 40 and Tom stops working after 2 hours but Claudia continues and stops after 3 hours when you divide their work by their time Claudia will get a lower number of power.

(in your explanation maybe use different numbers based on you book or notes)

Answer:

Claudia had more power. She did more work than Tom, and she did it in less time.

Explanation:

sample answer on edmentum. maybe change it up. hope this helps:)

A wave traveling at 230 m/sec has a wavelength of 2.1 meters. What is the frequency of this wave?

Answers

Answer:

109.52 Hz

Explanation:

The frequency of the wave when given it's velocity and wavelength only can be found by using the formula

[tex]f = \frac{c}{ \lambda} \\ [/tex]

where

c is the velocity of the wave in m/s

[tex] \lambda[/tex] is the wavelength in meters

From the question we have

c = 230 m/s

[tex] \lambda[/tex] = 2.1 m

[tex]f = \frac{230}{2.1} = 109.523809... \\ [/tex]

We have the final answer as

109.52 Hz

Hope this helps you

What does electrical energy transform into when used by objects in a home?

Answers

Answer:

What can electrical energy be transformed into?

Electrical energy is transformed into many forms - mechanical/kinetic, sound, heat, light, and other forms of electromagnetic radiation - by everyday appliances.

Explanation:

Answer:

none of the other answers could be correct.

Explanation:

The sun nuclear energy transfers to radiant energy A fire Chemical energy transfers to thermal and radiant energy. wind turbine Kinetic motion energy transfers to electrical energy. Lightbulb Electrical energy transfers to radiant and thermal energy. Radio Electrical energy transfers to sound energy.

What did Ernest Rutherford expect to happen when he aimed a beam of particles at a thin gold foil

Answers

Answer:

he expected a fire to happen I think

Answer:

When Ernest Rutherford aimed a beam of particles at a thin gold foil he expected that the particles would be deflected slightly after passing through the foil.

Explanation:

hope it helped

If mason runs a 5 k race at an average speed of 300 m/min how long will it take him to finish

Answers

[tex]\\ \sf\Rrightarrow Speed=\dfrac{Distance}{Time}[/tex]

[tex]\\ \sf\Rrightarrow Time=\dfrac{Distance}{Speed}[/tex]

[tex]\\ \sf\Rrightarrow Time=\dfrac{5000}{300}[/tex]

[tex]\\ \sf\Rrightarrow Time=16.6min[/tex]

A kilowatt-hour is a unit of
1. force
2. power
3. work
4. voltage
5. current
6. None of these
7. torque

(I tried 2 and 6, but they were both wrong :( )

Answers

Answer:

option 4 is the correct answer

Option 4 would be the answer

You roll a toy car, and it moves 10 meters in five seconds. What is the car's velocity?

Answers

Displacement = 10 mTime = 5 sWe know,[tex]velocity \: \: = \frac{displacement}{time} \\ [/tex]Therefore, the car's velocity[tex] = \frac{10}{5} m/s \\ = 2m/s[/tex]Answer:

The car's velocity is 2 m/s.

Hope you could get an idea from here.

Doubt clarification - use comment section.

What’s 5.1 cm in Newton’s?

Answers

0.051 newton meter.


A 100kg diver jumps off a 40m cliff. Ignoring the affects of air resistance, determine the
time it would take for the diver to reach the water.

Answers

Answer:2.86seconds

Explanation:

H=gt^2/2

t=2h/g

I need help with this physics question

Answers

Answer:

its B hope you have a good Day

what is 7 kg on the moon in newtons?

Answers

Answer:

11.37N

Explanation:

We can use the GUESS method to derive our solution.

Given:

We know our mass, and our acceleration. The acceleration on the moon is 1.625m/s^2.

[tex]m = 7kg \\ a = 1.625 \frac{m}{ {s}^{2} } [/tex]

Unknown:

We don't know, and are trying to find the force in Newtons.

[tex]F[/tex]

Equation:

We can use Newton's second law to find the solution.

[tex]F = ma[/tex]

Substitute:

Let's substitute our values into our equation.

[tex]F = 7 \times 1.625[/tex]

Solve:

We find our solution after solving for F.

[tex]7 \times 1.625 = F \\ 11.37 = F[/tex]

Our solution is 11.37N

Ana wonders how light can affect a mystery material. The table below shows what happens when different types of light hit the mystery material.

Answers

The light can definitely change the mystery material. This can occur through a change in temperature or color (option C).

A material is affected by light mainly if the material absorbs the light. Based on the chart, we know this mystery material can absorb two types of light:

Red light.Yellow light.

Moreover, this phenomenon can lead to two main changes:

Change in temperature: Light affects materials by increasing their temperature of these. A common example is the way the temperature of an object increases if it is exposed to sunlight.Change in color: Some materials react to light by changing their color.

Based on this, the material can change its color or temperature.

Note: This question is incomplete; here is the missing part:

A. Yes, but the mystery material can change in only one way, such as by getting warm, because all the light that a material absorbs will affect that material in the same way.

B. No. The mystery material can’t change because the light is not a physical thing. Light cannot change physical things like the mystery material.

C. Yes and the mystery material can change in one or two different ways, such as by getting warm and/or changing color, because different types of light can cause different changes to a material when they are absorbed.

D. There is no way to know whether the mystery material will change or not.

Learn more about sunlight in: https://brainly.com/question/1603783

An object is moving with a constant velocity of 311 m/s. How long will it take it to travel 9000 m?

Answers

[tex]\text{Given that,}\\\\\text{Velocity, v= 311 m s}^{-1}\\\\\text{Displacement, s = 9000 m}\\\\\text{Since velocity is constant,}\\\\s=vt\\\\\implies t =\dfrac{s}v = \dfrac{9000}{311} = 28.94 ~ \text{sec}.[/tex]

Solve the science problem

Answers

How does this have anything to do with science? (If you explain I’ll try my best to answer)

The parking brake on a 1200kg automobile has broken, and the vehicle has reached a momentum of 7800kg.m/s. What is the velocity of the vehicle?

Answers

Answer:

Velocity of the vehicle (v) = 6.5 m/s

Explanation:

Mass of automobile (m) = 1200 kg

Momentum of vehicle (p) = 7800 kg m/s

By using formula of momentum:

[tex] \rm p = mv \\ \rm 7800 = 1200 \times v \\ \rm v = \frac{7800}{1200} \\ \rm v = 6.5 \: m {s}^{ - 1} [/tex]

PE:

Write T in the blank if the statement is true and E if it is false.

_____1. A basketball game starts with a jump ball.

_____2. Basketball is a cardiovascular work-out.

_____3. The middle of the basketball court is called the sideline.

_____4. Unlimited substitutions are allowed during a regular basketball game.

_____5. If the ball crosses the sideline, it is considered out of bounds and goes to the other team.

_____6. A turnover is any loss of the ball without a shot being taken.

_____7. A player may intentionally kick the ball for the team's benefit.

_____8. When dribbling a ball, a basketball you want to keep the ball below your waist and off to the side of your body.

_____9. If your opponent shoots at the wrong hoop your team receives the points.

_____10. After a player stops dribbling the ball in basketball, he or she is allowed 4 steps to pass or shoot.​

Answers

Answer:

The answers are:

T, T, F, F, T, T, F, F, T, T, F

Good luck!

why is it less air pressure up in the sky and why does it affect our ears

Answers

Answer:

When you in a airplane you are in high altitude and thats where air density drops. Thats where ear pops come from.

Explanation:

From one point on the ground, the
angle of elevation of the peak of a
mountain is 10.38°, and from a
point 15,860 ft closer to the
mountain, the angle of elevation is
14.67º. Both points are due south of
the mountain. Find the height of the
mountain.
10.38°
一企一
14.67°
15,860 ft

Answers

Trigonometry allows to find the result for the question about the height of the mountain is:

The height mountain  is:  y = 9674.4 ft

Trigonometry allows finding relationships between the angles of a right triangle.

         [tex]tan \theta = \frac{y}{x}[/tex]  

Where θ is the angle, y the opposite leg (height) and x the adjacent leg (horizontal distance).

In the attachment we can see a diagram of the system. They indicate that for x  distance the angle is 14.67º  

         tan 14.67 = [tex]\frac{y}{x}[/tex]  

At the other point the angle is 10.38º.

        tan 10.38 = [tex]\frac{y}{x+15860}[/tex]

We look for the horizontal distance (x) with these equations.

        x tan 14.67 = (x + 15860) tan 10.38

        x tan 14.67 / tan 10.38 = x + 15860

        x 1,429 = x + 15860

        x 0.429 = 15860

        x = [tex]\frac{15680}{0.429}[/tex]

        x = 36955.3 ft

We calculate for the height.

        y = x tan 14.67

        y = 36955.3 tan 14.67

        y = 9674.4 ft

In conclusion using trigonometry we can find the result for the height of the mountain is:

The height is y = 9674.4 ft

Learn more about trigonometry here: https://brainly.com/question/8120556

please help asap!!!!!!!!!!!

Answers

The answer would be 20000

The answer in standard form/scientific notation would be 2 x 10^4

(The exponent is 4 because that's how many digits after the 2 there is)

1. Which statement is true about natural
resources?

A. They are only found in living things.
B. They only provide sources of food and
material to humans.
C. They can be man-made or found in nature.
D. They can be a substance, material, object or
source of energy.

2. How do the properties of a substance that is
the result of a chemical reaction compare to the
properties of the starting material?

A. The properties will stay the same.
B. The properties will be different.
C. The properties stayed the same and new
properties will be added.

3. Chlorine is a poisonous gas. Sodium reacts
explosively with water. When chlorine and
sodium react with each other, the product is
the salt we sprinkle on our food. Which
principle does this demonstrate?

A. Reactants are more dangerous than products.
B. Energy is released by some reactions and
absorbed by others.
C. When two reactants form one product, the
reaction is spontaneous.

Answers

Answer:

1. D. They can be a substance, material, object or  source of energy.

2. B. The properties will be different.

3. C. When two reactants form one product, the  reaction is spontaneous.

An object of length 3.00 cm is inside a plastic block with index of refraction 1.40. If the object is viewed from directly above, what is the length of its image?

Answers

The length of its image = [tex]-3cm[/tex]

Given,

length of object, [tex]h_o = 3 cm[/tex]

We know, for flat refracting surface,  

Image distance = object distance

So,

magnification is = [tex]-1[/tex]

length of the image,

[tex]h_i = magnification * h_o\\\\h_i = -1 * 3 \\\\h_i = -3cm[/tex]

Here, negative sign means inverted image.

For more information on refraction, visit

https://brainly.com/question/14760207?referrer=searchResults

Please help if you can

Answers

Answer:

The answer is B

Explanation:

Because when the both sides aren't balanced one side has to cause motion. (fall down)

Why does the size of a white dwarf affect its visual luminosity?

Answers

Answer:

A typical white dwarf has a carbon and oxygen mass similar to the Sun, but is much smaller in size (similar to the Earth). It is much hotter (25,000 K), but because of its small size its luminosity is low. ... Some very nearby white dwarf stars can be observed directly through telescopes, though they are extremely faint.

Explanation:

A furniture crate of mass 60 kg is at rest a loading ramp that makes an angle of 25° with the horizontal
The coefficient of kinetic friction between the crate and the ramp is 0.2. What force, applied parallel to the incline, is required to push the crate up the incline at a constant speed?

Answers

Answer:

furniture crate of mass 60 kg is at rest a loading ramp that makes an angle of 25° with the horizontal

The coefficient of kinetic friction between the crate and the ramp is 0.2. What force, applied parallel to the incline, is required to push the crate up the incline at a constant speed?

Explanation:

furniture crate of mass 60 kg is at rest a loading ramp that makes an angle of 25° with the horizontal

The coefficient of kinetic friction between the crate and the ramp is 0.2. What force, applied parallel to the incline, is required to push the crate up the incline at a constant speed?

[tex] \huge \boxed{ \sf lol}[/tex]


Please answer all questions if you do I mark you

Answers

Explanation:

1. A

2. B

3. I don't know this one but my guess is b

If you move two objects with opposite charges apart, what happens to the potential energy between them? Explain your response.

Answers

I have read it in the ncert science book

That any material charged with the same energy they repels each other while if they have opposite energy they attracts each other.

Hope it helps.

Please Mark as brainliest

on what factors does the quantity of heat of an object depend​

Answers

Answer:

The quantity of heat given to body depends on: (i) The mass of the body, (ii) The rise (or fall) in the temperature of the body, and (iii) Nature of the material of the body.

Explanation:

Hope this helps

have a great day

~Zero

batman recharges his bat taser with 2500 joules of energy in 15 minutes. how much power does it draw from the mains

Answers

The power P in watts (W) is equal to the energy E in joules (J), divided by the time period t in seconds (s):
P(W) = E(J) / t(s)

2.78 Watts

The practice of science can answer only scientific questions. And scientific questions guide the design of investigations. What must be true of the possible answers to a scientific question? A. They are popular with a majority of scientists. B. They agree with all prior experiments. O C. They can be supported by evidence. O D. They lead to increased funding of scientific research.​

Answers

Answer:

They must be supported by evidence.

Explanation:

Every scientific theory or scientifc claim must have scientific evidence.

the federal government sets upper limits for exposure to electromagnetic energy from _____ known as the sar.

Answers

The federal government sets upper limits for exposure to electromagnetic energy from telephones known as the SAR.

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