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A body X with a momentum p collides with another identical stationary body Y one dimensionally. During the collision, Y gives an impulse J to body X. Then coefficient of restitution is A body X with a momentum p collides with another identical stationary body Y one dimensionally. During the collision Y gives an impulse [...]

A smooth sphere is moving on a horizontal surface with velocity vector 2iˆ + 2jˆ immediately before it hits a vertical wall. The wall is parallel to jˆ vector and the coefficient of restitution between the sphere and the wall is e = 1/2. The velocity vector of the sphere after it hits the wall [...]

A ball of mass m collides horizontally with a stationary wedge on a rough horizontal surface, in the two orientations as shown. Neglect friction between ball and wedge. Two student comment on system of ball and wedge in these situation Saurav: Momentum of system in x-direction will change by significant amount in both cases. Rahul [...]

Two identical billiard balls undergo an oblique elastic collision. Initially, one of the balls is stationary. If the initially stationary ball after collision moves in a direction which makes an angle of 37∘ with direction of initial motion of the moving ball, then the angle through which initially moving ball will be deflected is one [...]

A highly elastic ball moving at a speed of 3 m/s approaches a wall moving towards it with a speed of 3 m/s. After the collision. the speed of the ball will be A highly elastic ball moving at a speed of 3 m/s approaches a wall moving towards it with a speed of 3 [...]

In the arrangements shown in the figure masses of each ball is 1 kg and mass of trolley is 4 kg. In the figure, shell of mass 1 kg moving horizontally with velocity v = 6 m/s collides with the ball and get stuck to it then its maximum deflection of the thread (length 1.5 [...]

A 3000 kg space probe is moving in a gravity free space at a constant velocity of 300 m/s. To change the direction of space probe, rockets have been fired in a direction perpendicular to the direction of initial motion of the space probe, the rocket firing exerts a thrust of 4000N for 225 s. [...]

A pendulum consists of a wooden bob of mass m and of length l. A bullet of mass m 1 ​ is fired towards the pendulum with a speed v 1 ​ . The bullet emerges out of the bob with a speed v1 ​/3 and the bob just completes motion along a vertical circle. [...]

Block A is hanging from vertical spring of spring constant K and is rest. Block B strikes block A with velocity v and sticks to it. Then the value of v for which the spring just attains natural length is determine the velocity vrel of the particle with respect to the cart when the rod [...]

Three carts move on a frictionless track with masses and velocities as shown. The carts collide and stick together after successive collisions. Find the total magnitude of the impulse experienced by A. determine the velocity vrel of the particle with respect to the cart when the rod is vertical. (Assume friction less surface) In the [...]