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 соmрlеtеlу inсlаѕtiс one and an
elastic one where the bullet bounces off the block. What is the flight ratio time?

Answers

Answer 1

The ratio of time of flight for inelastic collision to elastic collision [tex](t_A :t_B)[/tex] 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 = 0

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]

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Related Questions

When the mass of the cylinder increased by a factor of 3, from 1. 0 kg to 3. 0 kg, what happened to the cylindera's gravitational potential energy? It decreased by a factor of 3. It decreased by a factor of 2. It increased by a factor of 2. It increased by a factor of 3.

Answers

The mass of the cylinder increased by a factor of 3, the  gravitational potential energy increases by a factor of 3.

The given parameters:

Initial mass of the cylinder, m₁ = 1.0 kgFinal mass of the cylinder, m₂ = 3.0 kg

The gravitational potential energy of an object is calculated as follows;

P.E = mgh

where;

m is the mass

g is acceleration due to gravity

h is the height of the cylinder

when the mass = 1 kg

P.E = 1 x g x h

P.E = gh

when the mass = 3 kg

P.E = 3 x gh

P.E = 3gh

Thus, when the mass of the cylinder increased by a factor of 3, the  gravitational potential energy increases by a factor of 3.

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pls help me, its just fill in the blank

Answers

1. Frequency

2. Reflected

3. Absorbed

4. Black

In which scenario is work being done on an object?

a) A force is applied to an object to hold it at rest on an inclined plane.
b) Sitting on a box.
c) An upward force is applied to an object to move it upward at a constant speed.
d) An upward force is applied to an object to suspend it motionless in mid-air.

Answers

Answer:c

Explanation:

To solve this, we must know each and every concept related to work. Therefore, the correct option is option C that is "an upward force is applied to an object to move it upward at a constant speed."

What is work?

Work in physics is the energy delivered to or out of an item by applying force across a displacement. It is frequently expressed in its most basic form as the combination of displacement and force.

When a force is applied, it is said to produce positive work if it has a portion in the directions of the movement of the site of application. Work is done on a body is equivalent to an increase in the body's energy, because work transmits energy to the body. If, on the other hand, the force acting is in the opposite direction as the item's motion, the work is regarded negative, suggesting that energy is withdrawn from the object.

Therefore,  the correct option is option C that is "an upward force is applied to an object to move it upward at a constant speed."

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#SPJ2

1. What do machines do? Change the amount of force one exerts. Decrease the amount of work that is done. Increase the amount of work that is done. Eliminate friction.​

Answers

Answer: increase the amount of work that is done?

Explanation:

I’m not entirely sure to be honest but I’ll just use my logic here. Machines are made to increase efficiency and production. Machines are made to save time and energy as a pose to human work. So several machines can mass produce a lot of things and keep business booming. I’m not very good at explaining things but I hope this makes sense eventually.

Explain how the potential energy is changed to kinetic energy in the Hoover Dam​

Answers

The water behind a hydroelectric dam stores gravitational potential energy since it is at a higher level than the water on the other side of the dam. As the water falls, this potential energy is converted into kinetic energy, which turns turbines to generate electricity. Often, the water comes from behind a dam built across a river valley. The water high up behind the dam contains gravitational potential energy . This is transferred to kinetic energy as the water rushes down through tubes inside the dam. The moving water drives electrical generators , which may be built inside the dam.

PLZZZ HELPPP ASAP
I really need help as soon as possible

Answers

Answer:

Friction

Explanation:

As the toy cars rolls away, more friction is created. The more friction there is, the more friction on surface rubs against another which creates friction which in-term slows it down. Hope this helps.

name an instrument that is used to measure atmospheric pressure

Answers

Answer:

Barometer also called barometric pressure.

Answer:

A barometer

Explanation:

There are two types of barometers;

Mercury barometerAneroid barometer

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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

what is the static friction force and kinetic friction for the image

Answers

According to the plot, static friction force has a maximum magnitude of around 3.0 N, and kinetic friction has a magnitude of about 1.5 N.

The plot appears to be telling you the force required to get the yellow block moving along the table. If one applies less than 3.0 N of force, the block remains motionless. But as soon as it starts to slide, one need only apply 1.5 N of force to keep it moving (presumably at a constant speed).

Help please!

3. A 75 kg linebacker moving at 6 m/s is running towards an 80 kg tackle moving 4 m/s. If they collide and stick together, how fast will they be moving after the collision?

5. A 6 kg bowling ball and a 4 kg bowling ball are rolled toward each other. The 6 kg ball is initially moving at 5.1 m/s and the 4 kg ball is moving in the opposite direction at 1.3 m/s. If the 6 kg ball slows to 1.5 m/s, what is the final speed of the 4 kg ball?

Answers

3. The sum of the players' momenta is equal to the momentum of the players when they're stuck together:

(75 kg) (6 m/s) + (80 kg) (-4 m/s) = (75 kg + 80 kg) v

where v is the velocity of the combined players. Solve for v :

450 kg•m/s - 320 kg•m/s = (155 kg) v

v = (130 kg•m/s) / (155 kg)

v ≈ 0.84 m/s

4. The total momentum of the bowling balls prior to collision is conserved and is the same after their collision, so that

(6 kg) (5.1 m/s) + (4 kg) (-1.3 m/s) = (6 kg) (1.5 m/s) + (4 kg) v

where v is the new velocity of the 4-kg ball. Solve for v :

30.6 kg•m/s - 5.2 kg•m/s = 9 kg•m/s + (4 kg) v

v = (16.4 kg•m/s) / (4 kg)

v = 4.1 m/s

pls help it's due today​

Answers

Answer:

Breh seriously. Ugh fine.

1.B

2.D

3.C

4.C

5.D,A and B

6.A,C and D

What process primes a molecule to change in a way that increases its activity, produces motion, or does work

Answers

Answer:

cellular respiration.

explanation: cellular respiration, the process by which organisms combine oxygen with foodstuff molecules, diverting the chemical energy in these substances into life-sustaining activities and discarding, as waste products, carbon dioxide and water.

what is momentum?
what is period of an oscillating body?
what is friction?

Answers

Answer:

Explanation:

Momentum is the quantity of motion of a moving body, measured as a product of its mass and velocity.

The period of an oscillating body is the smallest interval of time in which a system undergoing oscillation returns to the state it was in at a time arbitrarily chosen as the beginning of the oscillation.

Friction is a force between two surfaces that are sliding, or trying to slide, across each other.  Friction always slows a moving object down. The amount of friction depends on the materials from which the two surfaces are made. The rougher the surface, the more friction is produced.

The force involved in falling of an apple from a tree is known as? (a) Magnetic force (b) electrostatic force (c) Contact force (d) gravitational force​

Answers

Answer:

it is known as gravitational force

Answer:

Gravitational force.

Explanation:

Gravitational force is the force that allows objects to drop which is how the apple dropped.

please help answer the question in the image!!!

Answers

Answer:

  C (only)

Explanation:

Often, we consider the 0 position on a graph like this to be the starting point. However, the position on this graph is indicated as positive at time = 0. The motion shown can be described in each stage as follows.

A: moving away from the starting position toward the reference position (position = 0)

B: stationary at the reference position

C: moving away from the reference position toward the starting position

D: stationary at a point just short of the starting position

E: moving away from the starting position toward, then beyond, the reference position

Give proof that mass is constant and weight keeps changing.​

Answers


The mass of an object stays the same wherever it is, but its weight can change. This happens if the object goes where the gravitational field strength is different from the gravitational field strength on Earth, such as into space or another planet.

An object accelerates from rest to 93 m/s over a distance of 49 m. What acceleration did it experience?

Answers

Answer:

[tex]88.3ms {}^{ - 2} [/tex]

or 88.3m/s^2

Explanation:

Using suvat where we list everything that we are given

s=49m

u=0m/s

v=93m/s

a=?

t=we are not given this value, so we don't use

using a formula that doesn't involve time:

[tex]v {}^{2} = u {}^{2} + 2as[/tex]

rearranging to find acceleration by subtracting u^2 on both sides

[tex]v {}^{2} - u {}^{2} = 2as[/tex]

then dividing 2s on both sides

[tex] \frac{v {}^{2} - u {}^{2} }{2s} = a[/tex]

[tex] \frac{(93) {}^{2} - (0) {}^{2} }{2 \times(49) } = 88.3ms {}^{ - 2} [/tex]

so the acceleration is 88.3ms^-2 (1dp)

How to find final velocity and initial velocity and acceleration ? :(

Answers

Explanation:

Final velocity=Initial velocity+(acceleration×time)

4 ways to find initial velocity:

1) Initial velocity=Final velocity-(acceleration×time)

2) Initial velocity=(Distance/Time)-((acceleration×time)/2)

3) Initial velocity=√Final velocity-(2×(acceleration×distance))

4) Initial velocity=2(distance/time)-Final velocity

Total force = Mass×Acceleration

(F=ma)

Share your thoughts about this statement by John Wesley
"Electricty is the soul of universe"

Answers

Answer:

I think this statement is true at least in modern day times. The world runs on nothing but technology. People use more technology instead of old school textbooks and papers. Imagine living in a world without technology… that means no cars, no trains, no devices, no machines like your stove or printer, no lights and lots more. John Wesley is 100 percent correct with this statement. Electricity is indeed the powerhouse of the universe.

Match the definition with the appropriate word.
temperature
part of internal energy that can be
transferred
heat
measure of the average kinetic energy of a
substance
thermal energy
total potential and kinetic energies of the
particles in a substance
internal energy
thermal energy that flows from one
substance to another

Answers

Answer:

Temperature: measure of the average kinetic energy of a substance

Internal energy: total potential and kinetic energies of the particles in a substance

Heat: thermal energy that flows from one substance to another

Thermal energy: part of internal energy that can be transferred

Explanation:

Proof for correct answers on edge :)

Find the gravitational force between Earth (5.97 x 1024 kg) and the Sun (1.99 x 1030 kg) knowing they are 1.48 x 1011 m apart.

Answers

Using the gravitational force of F= G(m1*m2/r^2)

m1= 5.97 x 10^24 kg (Earth)

m2= 1.99 x 10^30 kg (Sun)

r= 1.48 x 10^11 m

G is a known value, it is 6.672 x 10^-11

All units are proper. Therefore plug in the values and you get 3.16 x 10^22 N.

Let me know if I calculated this wrong and it is something else so I can delete this. Thank you. I don't want to make other students put down the wrong answer.

Answer:

[tex]\boxed {\boxed {\sf F_g \approx 3.62 *10^{22} \ N}}[/tex]

Explanation:

We are asked to find the gravitational force between Earth and the Sun. Use the following formula:

[tex]F_g= \frac{Gm_1m_2}{r^2}[/tex]

G is the universal gravitational constant. One mass (m₁) is the Earth and the other (m₂) is the Sun. r is the distance between the planets.

G= 6.67 * 10⁻¹¹ N*m²/kg²m₁ = 5.97 * 10²⁴ kg m₂= 1.99 * 10³⁰ kg r= 1.48 *10¹¹ m

Substitute the values into the formula.

[tex]F_g = \frac{ (6.67*10^{-11} N*m^2/kg^2)(5.97*10^{24} \ kg)(1.99*10^{30} \ kg) }{ (1.48 *10^{11} \ m)^2}}[/tex]

Multiply the numerator. The units of kilograms cancel.

[tex]F_g = \frac {7.9241601 *10^{44} \ N*m^2}{ (1.48 *10^{11} \ m)^2 }[/tex]

Solve the exponent in the denominator.

[tex]F_g= \frac {7.9241601 *10^{44} \ N*m^2}{ 2.1904*10^{22} \ m^2}[/tex]

Divide. The units of meters squared cancel.

[tex]F_g=3.61767718 *10^{22} \ N[/tex]

The original values all have 3 significant figures, so our answer must have the same. For the number we found, that is the hundredth place. The 7 in the thousandth place tells us to round the 1 up to a 2.

[tex]F_g \approx 3.62 *10^{22} \ N[/tex]

The gravitational force between Earth and the Sun is approximately 3.62 *10²² Newtons.

2 questions, 100 points

Gravitational force between objects ____________ as objects move farther apart, and it is ___________ between objects that are closer together.
increases, weaker
increases, stronger
decreases, weaker
decreases, stronger

In science, weight is measure in

Pounds
Kelvin
Newtons
Liters

Answers

1. Is decreases, stronger
2. Pounds

Answer:

decreases, stronger

newtons

Explanation:

What’s 5.1 cm in Newton’s?

Answers

0.051 newton meter.

The bulb in the circuit shown below does not glow. Which of following labelled parts is responsible for this?

Answers

Answer:

answer to this question is c

Answer:

3

Explanation:

because the battery's power is not functioning well

A wagon with a mass of 284 kg is accelerated across a level surface at 9 m/s2. What net force acts on the wagon?

Answers

Answer:

2556 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 284 × 9 = 2556

We have the final answer as

2556 N

Hope this helps you

For the equation BaCl2 + Na2SO4 → BaSO4 + 2NaCl, how many chlorine atoms are on the reactants side and on the products side?

Answers

Answer:2 reactants 2 products.

this is a balanced chemical equation. That means the number of chlorine before the arrow will be the same after the arrow

Explanation: i think this answer will help you very much

During chemical reactions, bonds between atoms break and form. What does this mean in terms of subatomic particles? (1 point)
O Electrical fields of charged particles interact, bonding those with the same charge.
Electrical fields of neutral particles interact, bonding those with opposite charges.
O Electrical fields of neutral particles interact, bonding those with the same charge.
o Electrical fields of charged particles interact, bonding those with opposite charges

Answers

During chemical reactions, bonds between atoms break and form Electrical fields of charged particles interact, bonding those with opposite charges.

What is the chemical bonds?

During chemical reactions, bonds between atoms break and form Electrical fields of charged particles interact, bonding those with opposite charges.

Since we know that every element have electrons in their atoms and every atom have vacant shells.

So during chemical reactions the elements fulfill their vacant shells and form bonds between each other it can be ionic or it can be covalent bond.

But when atoms breaks the bond their will be the positively or negatively charged electrons left in the atoms.

Hence During chemical reactions, bonds between atoms break and form Electrical fields of charged particles interact, bonding those with opposite charges.

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A 2-year-old child is prescribed cyclosporine. The parent says the child doesn't like taking the liquid medication. Which statement by the nurse is most appropriate

Answers

Given what we know, we can say that the most appropriate response by the nurse is to indicate that the parent should dilute the medicine in chocolate milk in order to make it more palatable.

Why is this an appropriate response?This is an appropriate response given that it offers a possible solution for the problem.The nurse is first showing that the problem presented by the parent is being taken seriously.Then, without criticizing the parent, a healthy and viable solution is offered.

Therefore, we can confirm that since this response is a calm and thought-out response that respects the patient and offers a viable solution, it can be considered the most appropriate statement by the nurse.

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The apparent brightness of stars in general tells us nothing about their distances; we cannot assume that the dimmer stars are farther away. In order for the apparent brightness of a star to be a good indicator of its distance, all the stars would have to be:__________.
a. at the same distance
b. the same composition
c. the same luminosity
d. by themselves instead of in binary or double-star systems
e. a lot farther away than they presently are

Answers

The answer is have the same luminosity

Please help if you can!

Answers

Answer:

a

Explanation:

bc i said so its right lol

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