Answer to Question #40140 in Mechanics | Relativity for sargam

Question

8. a) A particle of mass 4.0 kg, initially moving with a velocity of 5 . 0 ms with a particle of mass 6.0 kg, initially moving with a velocity of 5.0ms− 1 collides elastically -8.0 ms-1. What are the velocities of the two particles before and after the collision in the centre of mass frame of reference? What are the velocities of the two particles after the collision in the laboratory frame?

b) A 30.0 kg girl stands at the rim of a merry-go-round that has a moment of inertia of 2 500 kg m and a radius of 3.00 m. The merry-go-round is initially at rest. The woman then starts walking around the rim clockwise at a constant speed of 2 . 0 ms-1 ,i) In what direction and with what angular speed does the merry-go-round rotate? ii) How much work does the girl do to set herself and the merry-go-round into motion