This figure shows a man of mass m standing at the end A to a trolley of mass 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. (a) Find the time taken by the man to reach the other end. (b) As the man walk on the trolley, find the velocity centre of mass of the system (man+trolley). (c) When the man reaches the end B, find the distance moves by the trolley with respect to ground. (d) Find the distance moved by the man with respect to ground.

This figure shows a man of mass m standing at the end A to a trolley o

1.	This figure shows a man of mass m standing at the end A to a trolley of mass 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. (a) Find the time taken by the man to reach the other end. (b) As the man walk on the trolley, find the velocity centre of mass of the system (man+trolley). (c) When the man reaches the end B, find the distance moves by the trolley with respect to ground. (d) Find the distance moved by the man with respect to ground.
Answer» Answer :(a) `(L)/(u_("rel"))` (B) zero (C) `(ML)/(m+M)` `(d) (ML)/(m+M)`