A conveyor belt is moving at a constant speed of 2 ms^$$-$$1. A box is gently dropped on it. The coefficient of friction between them is $$\mu $$ = 0.5. The distance that the box will move relativce to belt before coming to rest on it, taking g = 10 m s^$$-$$2,, is

A body of mass M hits normally a rigid wall with velocity V and bounces back with the same velocity. The impulse experienced by the body is

A person of mass 60 kg is inside a lift of mass 940 kg and presses the button on control panel. The lift starts moving upwards with an acceleration 1.0 m/s². If g = 10 ms^$$-$$2, the tension in the supporting cable is

A block of mass m is in contact with the cart C as shown in the figure.

The coefficient of static friction between the block and the cart is $$\mu $$. The acceleration $$\alpha $$ of the cart that will prevent the block from falling satisfies