Impulsive Forces in Collision

Q. Two balls of masses $2\text{kg}$ and $4\text{kg}$ are moved towards each other with velocities $4\text{m/s}$ and $2\text{m/s}$ respectively on a frictionless surface. The impulse of maximum deformation for the ball of $4\text{kg}$ mass is (in $N-s$)

Q.

A ball of mass 0.4 kg moving with uniform speed of $2m{s}^{-1}$ strikes normally a wall and rebounds. Assuming the collision to be elastic and the time of contact of the ball with the wall as 0.4s, find the force exerted on the ball

1. 1 N

2. 2 N

3. 3 N

4. 4 N

Q.

A lead ball strikes a wall and falls down but a tennis ball having the same mass and velocity striking the wall, bounces back. Check the correct statement.

1. The momentum of the lead ball is greater than that of the tennis ball

2. The lead ball suffers a greater change in momentum compared with the tennis ball

3. The tennis ball suffers a greater change in momentum as compared with the lead ball

4. Both suffer an equal change in momentum

Q.

A body of mass 'm' collides against a wall with a velocity 'v' and retraces its path with the same speed. The change in momentum is (take initial direction of velocity as positive)

1. Zero

2. Mv

3. - 2 Mv

4. 2Mv

Q. Two stones A and B of masses 5 kg and 8 kg respectively are released from a height of 20 m above a thin plank.Assuming both masses sticks to the plank after collision in a time of 0.2s and a force of 600 N is required to break the plank. Choose the correct option.

1. Stone A will break the plank ; Stone B will not
2. Stone B will break the plank ; Stone A will not
3. Both will be able to break the plank
4. None of them will be able to break the plank

Q.

Two balls at same temperature collide. What is conserved?

1. Temperature

2. Velocity

3. Kinetic energy

4. Momentum

Q. A truck moving on a smooth horizontal surface with a uniform speed 'u' is carrying stone-dust. If a mass $\Delta m$ of the stone-dust `leaks down’ from the truck in the time $\Delta t$, the force needed to keep the truck moving at its uniform speed is

1. 
2. 
3. 
4. 

Q.

A lead ball strikes a wall and falls down, a tennis ball having the same mass and velocity strikes the wall and bounces back. Check the correct statement

1. The momentum of the lead ball is greater than that of the tennis ball

2. The tennis ball suffers a greater change in momentum as compared with the lead ball

3. Both suffer an equal change in momentum

4. The lead ball suffers a greater change in momentum compared with the tennis ball

Q. A body of mass 'm' is moving in a straight line at a constant speed 'v'. Its kinetic energy is 'k' and the magnitude of its momentum is 'p'. Which of the following relations is/are correct?

1. 
2. 
3. 
4. 

Q.

A block of mass 'm' and a pan of equal mass are connected by a string going over a smooth light pulley as shown in figure. Initially the system is at rest when a particle of mass m falls on the pan and sticks to it. If the particle strikes the pan with a speed 'v' find the speed with which the system moves just after the collision.

1. v/2

2. v/3

3. v/6

4. 2v/3