For a system of 2 colliding carts with minimal friction betw

For a system of 2 colliding carts with minimal friction between the carts and the track select all that apply. The magnitude of system momentum is frame-dependent. The system momentum remains constant in the center of mass frame The direction of system momentum frame-dependent. The system momentum remains constant in the laboratory (Earth) frame. For a system of 2 carts colliding elastically with minimal friction between the carts and the track select all that apply. The system kinetic energy remains constant in the center of mass frame The system kinetic energy remains constant in the laboratory (Earth) frame. The system kinetic energy is frame-dependent.

Solution

Part A:all are true,Total momentum of the two colliding bodies is frame-dependent,system momentum remains same in centre of mass frame.

Part B:all true .Kinetic energy is different as measured in different reference frames. Clearly so since it is a function of velocity and velocity is frame dependent.Centre of mass frame is just the frame in which we are travelling along with the centre of mass.This means that all we have to do to go from lab frame to CM frame velocities is subtract the velocity of the centre of mass.In each frame the energy conservation is valid