Collisions

A shell of mass 200 g is ejected from a gun of mass 4 kg by an explosion that generates 1.05 kJ of energy. The initial velocity of the shell is:

1. 100 ms^-1

2. 80 ms^-1

3. 40 ms^-1

4. 120 ms^-1

A ball moving with velocity 2 ms^-1 collides head-on with another stationary ball of double the mass. If the coefficient of restitution is 0.5, then their velocities (in ms^-1) after the collision will be:

1. 0, 1

2. 1, 1

3. 1, 0.5

4. 0, 2

Two spheres and of masses and respectively, collide. is at rest initially and is moving with velocity along the axis. After the collision, has a velocity in a direction perpendicular to the original direction. The mass moves after collision in the direction:

1.	same as that of
2.	opposite to that of
3.	to the positive -axis.
4.	to the positive -axis.

An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass kg moves with a speed of ms^–1 and the second part of mass kg moves with ms^–1 speed. If the third part flies off with ms^–1 speed, then its mass is:

On a frictionless surface, a block of mass moving at speed collides elastically with another block of the same mass which is initially at rest. After the collision, the first block moves at an angle to its initial direction and has a speed . The second block’s speed after the collision will be:

1.		2.
3.		4.

A bullet of mass g moving horizontal with a velocity of m/s strikes a wood block of mass kg which is suspended by light inextensible string of length m. As a result, the centre of gravity of the block is found to rise a vertical distance of cm. The speed of the bullet after it emerges horizontally from the block will be:

1.	m/s	2.	m/s
3.	m/s	4.	m/s

Two identical balls and having velocities of and , respectively, collide elastically in one dimension. The velocities of and after the collision, respectively, will be:

1.
2.
3.
4.

A moving block having mass collides with another stationary block having a mass of The lighter block comes to rest after the collision. When the initial velocity of the lighter block is then the value of the coefficient of restitution will be:

1.		2.
3.		4.

Body of mass moving with speed collides with another body of mass at rest. The collision is head-on and elastic in nature. After the collision, the fraction of energy lost by the colliding body is:

1.		2.
3.		4.

Two bodies and of the same mass undergo completely inelastic one-dimensional collision. The body moves with velocity while the body is at rest before collision. The velocity of the system after collision is The ratio of is:
1.
2.
3.
4.

A ball of mass is dropped from a height of The ball hits the ground and rises to a height of The impulse imparted to the ball during its collision with the ground is:
(take )
1.
2.
3.
4.