Will the position of CM of the compartment change ?

In a stationary railway compartment, there are several passengers. If they start moving in the compartment, will CM of the compartment change ? Will the CM of the system of compartment and passengers change ?

There are some passeger inside a stationary railway compartment. The centre of mass of the compartment itself (without the passngers) is C_(1) while the centre of mass of the compartment plus passengers system is C_(2) if passenger move about inside the comparment

A container of volume 1m^(3) is divided into two equal compartments by a partition. One of these compartments contains an ideal gas at 300 K . The other compartment is vacuum. The whole system is thermally isolated from its surroundings. The partition is removed and the gas expands to occupy the whole volume of the container. Its temperature now would be

In the figure the top view of a compartment of a train is shown. A man is sitting at a corner 'B' of the compartment . The man throws a ball ( with respect to himself ) along the surface of the floor towards the corner 'D' of the compartment of the train. The ball hits the corner 'A' of the compartment, then find the time at which it hits A after the ball is thrown . Assume no other collision during motion and floor is smooth. The length of the compartment is given 'l' and the train is moving with constant acceleration 'a' in the direction shown in the figure.

Figure, shows the top view of an open square box that is divided into 6 compartments with walls of equal height. Each of rectangles D, E, F has twice the area of each of the squares A, B and C. When a marble is dropped into the box at random, it falls into one of the compartments. What is a probability that marble will fall into compartment F?