On a frictionless horizontal surface, block A of mass m = 1.5 kg moving with speed vA = 3.5 m/s suddenly collides with and sticks to another block B of mass M = 3.0 kg that is initially at rest. This system then runs into an ideal spring of force constant (spring constant) k = 50.0 N/cm (5000N/m).
a) (3 points) State the nature of the collision between blacks A and B.
b) (5 points) Determine the velocity V of the two blocks right after the collision.
c) (6 points) How much kinetic energy is lost after the collision between the two blocks?
d) (6 points) What will be the maximum compression distance of the spring.