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JEE Advanced
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In an inelastic collision,

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Important Questions on Impulse and Collision

EASY
JEE Advanced
IMPORTANT

A ball rolls with a velocity v on a smooth horizontal floor. If e= coefficient of restitution, find the average speed of the ball for to and fro journey.

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EASY
JEE Advanced
IMPORTANT

A ball is projected from the ground at some angle with horizontal. Coefficient of restitution between the ball and the ground is e. Let a, b and c be the ratio of times of flight, horizontal range and maximum height in two successive paths. Find a, b and c in terms of e.

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EASY
JEE Advanced
IMPORTANT

A is a fixed point a height H above a perfectly inelastic smooth horizontal plane. A light inextensible string of length L>H has one end attached to A and other to a heavy particle. The particle is held at the level of A with string just taut and released from rest. Find the height of the particle above the plane when it is next instantaneously at rest.

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HARD
JEE Advanced
IMPORTANT
A small ball rolls off the top landing of a staircase. It strikes the mid-point of the first step and then mid-point of the second step. The steps are smooth and identical in height and width. Find the coefficient of restitution between the ball and the first step.
EASY
JEE Advanced
IMPORTANT

A heavy ball of mass 2M moving with a velocity v0 collides elastically head-on with a cradle of three identical balls each of mass M as shown in figure. Determine the velocity of each ball after collision.

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EASY
JEE Advanced
IMPORTANT

In figure, there are n identical spheres of mass m suspended with wires of equal length. The spheres are almost in contact with each other. Sphere 1 is pulled aside and released. If sphere 1 strikes sphere 2 with velocity u find an expression for velocity vn of the nth  sphere immediately after being struck by the one adjacent to it. The coefficient of restitution for all the impacts is e.

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HARD
JEE Advanced
IMPORTANT
A mass m1 moves with a great velocity. It strikes another mass m2 at rest in head-on collision. It comes back along its path with low speed after collision. Then find out whether m1<m2 or m1>m2.
MEDIUM
JEE Advanced
IMPORTANT
A ball of mass 4 kg moving with a velocity of 12 m/s impinges directly on another ball of mass 8 kg moving with velocity of 4 m/s in the same direction. Find their velocities after impact and calculate the loss of KE due to impact if e=0.5.