Test: Center of Mass Momentum and Collision - 4 - JEE MCQ
11 Questions MCQ Test - Test: Center of Mass Momentum and Collision - 4
A ball of mass 
moving horizontally at a speed 
collides with the bob of a simple pendulum at rest. The mass of the bob is also 
. If the collision is perfectly inelastic, the height to which the two balls rise after the collision will be given by
moving horizontally at a speed collides with the bob of a simple pendulum at rest. The mass of the bob is also . If the collision is perfectly inelastic, the height to which the two balls rise after the collision will be given by
A block of wood of mass 
is suspended by means of a thread. A bullet of mass 
is fired horizontally into the block with a velocity 
. As a result of the impact, the bullet is embedded in the block. The block will rise to vertical height given by
is suspended by means of a thread. A bullet of mass is fired horizontally into the block with a velocity . As a result of the impact, the bullet is embedded in the block. The block will rise to vertical height given by
A body falls from a height 
on a horizontal surface and rebounds. Then it falls again, and again rebounds and so on. If the restitution coefficient is 
, the total distance covered by the body before it comes to rest is
on a horizontal surface and rebounds. Then it falls again, and again rebounds and so on. If the restitution coefficient is , the total distance covered by the body before it comes to rest is
A body is dropped from rest from a height 
. After rebounding twice from a horizontal floor, to what height will it rise if the coefficient of restitution is 
?
A body 
moving with momentum 
collides one-dimensionally with another stationary body 
of same mass. During impact, 
gives impulse 
to 
. Then which of the following is/are correct?
(a) The total momentum of 
and 
is 
before and after impact and 
during the impact.
(b) During the impact, 
gives impulse of magnitude 
to 
.
(c) The coefficient of restitution is 
.
(d) The coefficient of restitution is 
.
moving with speed of 
has a head-on collision with a stationary ball of mass 
. If after collision, both the balls move together, then the loss in kinetic energy due to collision is
traveling horizontally with a speed of 
passes through a wooden block of mass 
initially at rest on a level surface. The bullet emerges with a speed of 
and the block slides 
on the surface before coming to rest. The coefficient of friction between the block and the surface is 
A ball after falling through a distance 
collides with an inclined plane of inclination 
as shown. It moves horizontally after the impact. The co-efficient of restitution between inclined plane and ball is
A bomb at rest explodes into three parts of equal mass. If the momentum of two parts are 
and 
, find the magnitude of momentum of the third part.
A plate remains in equilibrium in air when 
bullets are fired per second on it. The mass of each bullet is 
and it strikes the plate with speed 
. The coefficient of restitution is 
. The mass of the plate is
final momentum 
initial momentum
bullet strikes per second.
Force exerted by the bullets 
weight of the plate
or 
(where 
mass of the plate)
directed at an angle 
above the horizontal collides inelastically 
with a vertical massive wall moving with a uniform horizontal velocity 
towards ball. After collision with the wall, the ball returns to the point from where it was thrown. Neglect friction between ball and wall. The time from beginning of motion of the ball till the moment of its impact with the wall is 
. Let velocity
.
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