Com in Perfectly Inelastic Collision

Q.

A particle which has zero rest mass and non-zero energy and momentum must travel with a speed

Q. 37) In a one dimensional collision between two identicalparticle A and B, B is stationary and A has momentum p before impact. During impact B givesan impulse Jto A. Then, coefficient of restitutionbetween the two is 2J/p-1, 2J/p+1

Q. A body of mass 5 kg is moving along the x-axis with a velocity 2$m{s}^{-1}$. Another body of mass 10 kg is moving along the y-axis with a velocity $\sqrt{3}m{s}^{-1}$. They collide at the origin and stick together. The final velocity of the combined mass is

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4. 

Q. According to Kinetic theory of gases the collision are elastic among the wall and molecules and among gases molecules then why do momentum change Because mass remain same for molecules and all that vary is velocity which shold be same to keep no loss in kinetic energy

Q.

A heavy car $A$ of mass $2000kg$ travelling at $10m/s$ has a head-on collision with a sports car$B$ of mass $500kg$. If both cars stop dead on colliding, what was the velocity of car $B$?

Q.

Two particles of equal masses moving the same speed collide perfectly in-elastically. After the collision the combined mass moves with half of the speed of the individual masses. The angle between the initial momenta of individual particle is

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Q. A body of mass 2 kg moving with a velocity $(\hat{i}+2\hat{j}-3\hat{k})m{s}^{-1}$ collides with another body of mass 3 kg moving with a velocity $(2\hat{i}+\hat{j}+\hat{k})$ in $m{s}^{-1}$. If they stick together, the velocity in $m{s}^{-1}$ of the composite body is

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Q. Applying the momentum and energy conservation formulas, show that if K=1 then in case of the head on elastic collision between two bodies of mass M and KM the first one loses maximum energy.

Q. A radioactive nucleus of mass number A, initially at rest, emits an $\alpha$ - particle with a speed v. What will be the recoil speed of the daughter nucleus?

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Q. A shell of mass 2m fired with a speed u at an angle $\theta$ to the horizontal explodes at the highest point of its motion into two fragments of mass m each. If one fragment, falls vertically, the distance at which the other fragment falls from the gun is given by

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Q. explain the law of conservation of linear momentum in the rockets and jets planes

Q.

A bullet of mass 20g travelling horizontally with a speed of 500 m/s passes through a wooden block of mass 10.0 kg initially at rest on a level surface. The bullet emerges with a speed of 100 m/s and the block slides 20 cm on the surface before coming to rest. The friction coefficient between the block and the surface is $g=10m{s}^{-2}$

1. 0.16

2. 0.24

3. 0.32

4. 0.50

Q.

A bullet of mass $a$and velocity $b$ is fired into a large block of wood of mass $c$. The bullet gets embedded into the block of wood. The final velocity of the system is

1. $\frac{b}{a+b}\times c$

2. $\frac{a+b}{c}\times a$

3. $\frac{a}{a+c}\times b$

4. $\frac{a+c}{a}\times b$

Q. A spacecraft of mass 'M' explodes into two parts when its velocity is 'V'. After the explosion, one part of mass 'm' is left stationary. What is the velocity of the other part?

1. $\frac{MV}{(M+m)}$
2. $\frac{MV}{(M-m)}$
3. $\frac{mV}{(M-m)}$
4. $\frac{MV}{\left(m\right)}$

Q. A point mass $m$ moving with velocity $v_0$ hits a ball of same mass $m$ at rest elastically. After the collision, point mass moves with velocity $v_0/2$ at an angle $\theta$ from initial direction of motion. Then value of $\theta$ is

1. ${30}^0$
2. ${45}^0$
3. ${60}^0$
4. ${90}^0$

Q.

A vessel at rest explodes into three pieces. Two pieces having equal masses fly off perpendicular to one another with the same velocity of 30 m/s. The third piece has three times mass of each of the other piece. The magnitude and direction of the velocity of the third piece would be

1. $10\sqrt{2}m/secondand{135}^{\circ }fromeither$

2. $10\sqrt{2}m/secondand{45}^{\circ }fromeither$

3. $\frac{10}{\sqrt{2}}m/secondand{135}^{\circ }fromeither$

4. $\frac{10}{\sqrt{2}}m/secondand{45}^{\circ }fromeither$

Q.

what is called as OBLIQUE COLLISIONS ?

Q. A shall at rest at the origin explodes into three fragments of masses 1 kg, 2 kg and m kg. The 1 kg and 2 kg pieces fly off with speeds of $12m{s}^{-1}$ along the x-axis and 8 $m{s}^{-1}$ along the y-axis respectively. If the m kg piece flies off with a speed of 40 $m{s}^{-1}$ , the total mass of the shell must be

1. 3.5 kg
2. 4.0 kg
3. 4.5 kg
4. 5.0 kg

Q. A ball of mass $m$ moving with speed $u$ undergoes a head on collision with a stationary ball of mass $3m$. If collision is perfectly inelastic, find the loss of kinetic energy.

1. $\frac{1}{4}m{u}^2$
2. $\frac{1}{8}m{u}^2$
3. $\frac{1}{16}m{u}^2$
4. $\frac{3}{8}m{u}^2$

Q. A bullet of mass $200\text{g}$ fired with a velocity of $200\text{m/s}$, hits a block of mass $2\text{kg}$ moving with a velocity of $10\text{m/s}$. After hitting the block, the bullet lodges into it. What is the velocity of the combined system? Assume that the collision is perfectly inelastic.

1. $27.27\text{m/s}$
2. $20\text{m/s}$
3. $54.54\text{m/s}$
4. $36.36\text{m/s}$

Q. A $2kg$ of block of wood rests on a long table top. A $5g$ bullet moving horizontally with a speed of $150m/s$ is shot into the block and sticks to it. The block then slides $2.7m$ along the table top and comes to a stop. The force of friction between the block and the table is:

1. $0.052N$
2. $3.63N$
3. $2.50N$
4. $1.04N$

Q. A molecule in a gas container hits a horizontal wall with speed 200 m $s^{-1}$ and angle ${30}^0$ with the normal, and rebounds with the same speed. Is momentum conserved in the collision ? Is the collision elastic or inelastic ?

Q.

A bullet of mass m leaves a gun of mass M kept on a smooth horizontal surface. If speed of the bullet relative to the gun is v, then recoil speed of the gun will be:

1. $\frac{m}{M}v$

2. $\frac{m}{M+m}v$

3. $\frac{Mv}{M+m}$

4. $\frac{M}{m}v$

Q. A small block of mass $2\text{kg}$ having a velocity of $50\text{m/s}$ hits a larger block of mass $10\text{kg}$ initially at rest. The collision is perfectly inelastic and the smaller block sticks to the larger block. Find the velocity of the combined mass after the collision.

1. $8.33\text{m/s}$
2. $16.66\text{m/s}$
3. $33.33\text{m/s}$
4. $21\text{m/s}$

Q. A nucleus is at rest in the laboratory frame of reference. Show that if it disintegrates into two smaller nuclei the products must move in opposite directions.

Q. A bullet of mass $200\text{g}$ fired with a velocity of $200\text{m/s}$, hits a block of mass $2\text{kg}$ moving with a velocity of $10\text{m/s}$. After hitting the block, the bullet lodges into it. What is the velocity of the combined system? Assume that the collision is perfectly inelastic.

1. $27.27\text{m/s}$
2. $20\text{m/s}$
3. $54.54\text{m/s}$
4. $36.36\text{m/s}$

Q.

A 2 kg mass moving with a velocity of $10m{s}^{-1}$ collides with another 6 kg mass moving in opposite direction with a velocity of $20m{s}^{-1}$. After the collision, they stick and move together. Find their common velocity and the momentum.

1. $12.5m/s,100kgm{s}^{-1}$

2. $12.5m/s,50kgm{s}^{-1}$

3. $7.5m/s,100kgm{s}^{-1}$

4. $7.5m/s,50kgm{s}^{-1}$

Q. show that the total linear momentum of a system of particles is conserved in any collision?

Q.

A body of mass $5kg$ is moving along the x-axis with a velocity $2m{s}^{-1}$. Another body of mass $10kg$ is moving along the y-axis with a velocity $\sqrt{3}m{s}^{-1}$. They collide at the origin and stick together. The final velocity of the combined mass is

1. $\sqrt{3}m{s}^{-1}$

2. $(\sqrt{3}+1)m{s}^{-1}$

3. $\frac{4}{3}m{s}^{-1}$

4. $\frac{3}{4}m{s}^{-1}$

Q. A neutron of mass $1.67\times {10}^{-27}kg$ is moving with a velocity $1.2\times {10}^{7}m{s}^{-1}$ collides head-on with a deuteron of mass $3.34\times {10}^{-27}kg$ initially at rest. If the collision is perfectly inelastic, the speed of the composite particle will be

1. $2\times {10}^{6}m{s}^{-1}$
2. $4\times {10}^{6}m{s}^{-1}$
3. $6\times {10}^{6}m{s}^{-1}$
4. $8\times {10}^{6}m{s}^{-1}$