Question

A 15.0 gram bullet with a speed of v is fired into a 400 gram block of wood that is initially at rest on a surface. The coefficient of kinetic friction between the block and the surface is 0.250. The block of wood is attached to a horizontal massless spring with a spring constant k = 320 N/m that is initially uncompressed. The other end of the spring is attached to a wall as shown in the figure below. The bullet becomes imbedded in the block of wood which then compresses the spring a distance of 17.0 cm before momentarily coming to a stop. Assume the block does not move during the collision.

1) Determine the speed v of the bullet.
2)What fraction of the initial kinetic energy of the bullet is transformed into other forms of energy during the inelastic collision of the bullet with the wooden block?
3)What fraction of the initial kinetic energy of the bullet is converted to heat via friction when the block slides across the surface?