A trolley of mass M is at rest over a smooth horizontal surface as shown in figure. Two boys each of mass 'm' are standing over the trolley. They jump from the trolley (towards right) with relative velocity `v_r` [relative to velocity of trolley just after jumping]
(a) together
(b) one after the other.
Find velocity of trolley in both cases.

Two boys each of mass 40 kg are standing on the right side of a trolley of mass 80 kg , initially at rest on smooth floor. The boys jumps to the right with velocity 3 m//s with respect to the trolley before the jump. Find the final velocity of the trolley if the jumps : (a) together , (b) one after the other and (c ) one boy is on the left and the other on the right , the boy on the left jumps to the left and then the boy on the right jumps to the right. Each boy jumps with 3 m//s with respect to the trolley before the jump.

A trolley of initial mass m_0 is kept over a smooth surface as shown in figure. A constant force F is applied on it. Sand kept inside the trolley drains out from its floor at a constant rate of (mu)kg//s . After time t find: (a) total mass of trolley and sand. (b) net force on the trolley. (c) velocity of trolley.

A trolley of initial mass m_0 is kept over a smooth surface as shown in figure. A constant force F is applied on it. Sand kept inside the trolley drains out from its floor at a constant rate of (mu)kg//s . After time t find: (a) total mass of trolley and sand. (b) net force on the trolley. (c) velocity of trolley.

A boy of mass m is riding on a trolley of mass M which is moving on smooth floor at speed v_(0) . He jumps off in the opposite direction of motion of trolley with velocity u relative to the trolley before the jump. Find the velocity of the trolley after jump.

A trolley of mass 360 kg is lying on a horizontal frictionless surface. A mas of mass 40 kg runs with uniform speed on the trolley by a distance of 2m in 0.5 second. What is the velocity of the trolley relative to earth ?

If a trolley starts from rest with an accerelaton of 2m/s^(2) , the velocity of the body after 4 s would be