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.

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 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 boy of mass 60 kg running at 3//s jumps on to a trolley of mass 140 kg moving with a velocity of 1.5m//s in the same direction . What is their common velocity?

The figure shows a man of mass m standing at the end A of a trolley of maas M placed at rest on a smooth horizontal surface. The man starts moving towards the end B with a velocity u_(rel) with respect to the trolley. The length of the trolley is L. The velocity of the man with respect to ground v_(1) will be:

The figure shows a man of mass m standing at the end A of a trolley of maas M placed at rest on a smooth horizontal surface. The man starts moving towards the end B with a velocity u_(rel) with respect to the trolley. The length of the trolley is L. As the man walks on the trolley, the centre of mass of the system (man+ trolley) :

The figure shows a man of mass m standing at the end A of a trolley of maas M placed at rest on a smooth horizontal surface. The man starts moving towards the end B with a velocity u_(rel) with respect to the trolley. The length of the trolley is L. When the man starts moving, then the velocity of the trolley v_(2) with respect to ground will be:

The figure shows a man of mass m standing at the end A of a trolley of maas M placed at rest on a smooth horizontal surface. The man starts moving towards the end B with a velocity u_(rel) with respect to the trolley. The length of the trolley is L. When the man reaches the end B, the distance moves . by the trolley with respect to ground is:

The figure shows a man of mass m standing at the end A of a trolley of maas M placed at rest on a smooth horizontal surface. The man starts moving towards the end B with a velocity u_(rel) with respect to the trolley. The length of the trolley is L. Choose the correct statement:

The figure shows a man of mass m standing at the end A of a trolley of maas M placed at rest on a smooth horizontal surface. The man starts moving towards the end B with a velocity u_(rel) with respect to the trolley. The length of the trolley is L. The time taken by the man to reach the other end is: