A flat car of mass `m` is at rest on a frictionless floor with a child of mass `m` standing at its edge. If the child jumps off from the car towards right with an initial velocity `u`, with respect to the car, find the velocity of the car after its jump.

A flat car of mass M with a child of mass m is moving with a velocity v_(1) . The child jumps in the direction of motion of car with a velocity u with respect to the car. Find the final velocities of the child and that of the car after jump.

A man of mass m stands on a long flat car of mass M , moving with velocity V.If he now begins to run with velocity u, with respect to the car , in the same direction as V, the the velocity of the car will be

A railroad car of mass M is at rest on frictionless rails when a man of mass m strts moving on the car towards the engine. If the car recoils with a speed v backward on the rails, with what velocity is the man aproaching the engine?

A plank of mass M and length L is at rest on a frictionless floor. At one end of it a child of mass m is standing as shown in figure-4.41. If child walks towards the other end, find the distance, which the plank moves (a) till the child reaches the centre of the plank, (b) till the child reaches the other end of the plank.

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 child with mass m is standing at the edge of a merry go round having moment of inertia I , radius R and initial angular velocity omega as shown in the figure. The child jumps off the edge of the merry go round with tangential velocity v with respect to the ground. The new angular velocity of the merry go round is

A child with mass m is standing at the edge of a disc with moment of inertia I , radius R m and initial angular velocity omega . See figure given below. The chlid jumps off the edge of the disc with tangential velocity v with respect to the ground. The new angular velocity of the disc is. .

A boy of mass 40 kg stands on a rail road car of mass 60 kg , moving with velocity 10 m//s . Now , the boy begins to run with velocity 5 m//s , with respect to the car , in the same direction , the velocity of the car will be

Two persns each of mass m are standing at the two extremes of a railroad car of mas M resting on a smooth track figure. The person on left jumps to the left with a horizontal speed u with respect to the state f the cr before the jump. Threafter, the other person jumps to the right, again with the same horizontl speed u with respect to teg state of the car before his jump. Find the vellcity of the car after both the person hae jumped off.

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.