2. A mass M is connected by a massless rope going over a massless, frictionless pulley to a container of
water, which is initially at rest, and has mass m0. At time t = 0 the system is released and water is ejected
(with the help of internal mechanism) in the downward direction with a constant velocity U relative to
the container. The rate at which water is ejected is k m(t) where k is a constant. Find the acceleration of
mass M as a function of time (take M>m0).

Three identical balls are placed on a frictionless horizontal surface touching each other. They stick to each other because of adhesive. Another ball of same radius and mass m is placed over the void created by the three balls. Find the forces applied by the balls kept on the floor to each other if the system remains in equilibrium.

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.

11

21

31

41