A body of mass 2 kg moving with a velocity of  ms${}^{-1}$ collides with another body of mass 3 kg moving with a velocity of  ms${}^{-1}$ . If they stick together, the velocity in ms${}^{-1}$ of the composite body will be:

1.

2.

3.

4.

Subtopic:  Collisions |
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Two equal masses, m1 and m2 , moving in the same straight line at velocities +3 m/s and –5 m/respectively, collide elastically. Their velocities after the collision will be:

1. +4 m/s for both

2. –3 m/s and +5 m/s

3. –4 m/s and +4 m/s

4. –5 m/s and +3 m/s

Subtopic:  Collisions |
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A smooth sphere of mass M, moving with velocity u, directly collides elastically with another sphere of mass m at rest. After the collision, their final velocities are V and v, respectively. The value of v is:

1.  $\frac{2\mathrm{um}}{\mathrm{m}}$

2.  $\frac{2\mathrm{um}}{\mathrm{M}}$

3.

4.

Subtopic:  Collisions |
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Which of the following remains unchanged (for the system) during an inelastic collision?

1. Mechanical energy

2. Kinetic energy

3.  Momentum

4. All of the above.

Subtopic:  Collisions |
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A car of mass 100 kg and traveling at 20 m/s collides with a truck weighing 1 tonne traveling at 9 km/h in the same direction. The car bounces back at a speed of 5 m/s. The speed of the truck after the impact will be:

1.  11.5 m/s

2.  5 m/s

3.  18 m/s

4.  12 m/s

Subtopic:  Collisions |
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A body of mass 2 kg moving with a velocity of 3 m/s collides with a body of mass of 1 kg moving with a velocity of 4 m/s in the opposite direction. If the collision is head-on and completely inelastic, then the wrong statement is:

1. Both bodies move together with a velocity (2/3) m/s.

2. The momentum of the system is 2 kg-m/s throughout.

3. The momentum of the system is 10 kg-m/s.

4. The loss of KE for the system is (49/3) J.

Subtopic:  Collisions |
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On a frictionless surface, a block of mass M moving at speed v collides elastically with another block of the same mass M which is initially at rest. After the collision, the first block moves at an angle $\theta$ to its initial direction and has a speed $\frac{v}{3}$. The second block’s speed after the collision will be:

1. $\frac{2\sqrt{2}}{3}v$

2. $\frac{3}{4}v$

3. $\frac{3}{\sqrt{2}}v$

4. $\frac{\sqrt{3}}{2}v$

Subtopic:  Collisions |
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A body of mass m moving at a certain speed suffers a perfectly inelastic collision with a body of mass M at rest. The ratio of the final kinetic energy of the system to the initial kinetic energy will be:

1.

2.

3.

4.

Subtopic:  Collisions |
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Five balls are placed one after another along a straight line as shown in the figure. Initially, all the balls are at rest. Then the second ball is projected with speed ${\mathrm{v}}_{0}$ towards the third ball. Mark the correct statement(s). (Assume all collisions to be head-on and elastic):

1. The total number of collisions in the process is 5.

2. The velocity of separation between the first and fifth ball after the last possible collision is ${\mathrm{v}}_{0.}$

3. Finally, three balls remain stationary.

4. All of the above are correct.

Subtopic:  Collisions |
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A stone is projected from a horizontal plane. It attains maximum height, 'H', and strikes a stationary smooth wall & falls on the ground vertically below the maximum height. Assuming the collision to be elastic, the height of the point on the wall where the ball will strike will be:

1. $\frac{H}{2}$

2. $\frac{H}{4}$

3. $\frac{3H}{4}$

4. None of these

Subtopic:  Collisions |
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