1. A Mkg railroad freight car collides with a stationary caboose car. They couple together and 30% of the initial kinetic energy is dissipated as heat. Find the mass of the caboose.

2. In a playground there is a small merry-go-round of mass 176kg and radius 1.22m that is not moving. The radius of gyration is 91.6cm. A girl of mass 44.3kg runs at a speed of 2.92 m/s tangent to the rim of the merry-go-round and jumps on it. Neglect friction between the bearings and the shaft of the merry-go-round and find the angular speed of the merry-goround and girl.

3. A "stiff" spring has a force law given by F = -kx3 . The work required to stretch the spring from the relaxed state x = 0 to the stretched length x = 2L is W0. In terms of W0, how much work is required to extend the spring from the stretched length 2L to the length 3L?

4.) A particle moves 5 m in the negative x direction while being acted upon by a constant force = (4 N)+ (2 N ). Find the work done on the particle by this force.

5. Show that the slow neutron (with mass M) that is scattered through 900 in an elastic collision with deuteron (with mass 2M), that is initially at rest, loses 2/3 of its initial kinetic energy to the deuteron