A 10kg wood block M is attached to a spring of k = 5000N/m. A 0.1kg rubber bullet m is fired straight with a speed v = 400.0m/s toward the block and rebounds with speed 100.0m/s. causing the block to compress the spring.

a) What is the speed of the block after the collision?

b) How much the spring is compressed if the the surface is frictionless?

c) Now, if the bullet get embeded in the block , how much the spring is compressed?