A 12.0 g bullet is fired horizontally into a 101 g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 144 N/m. The other end of the horizontal spring is attached to an immovable wall. The bullet becomes embedded in the block. If the bullet-block system compresses the spring by a maximum of 90.0 cm, what was the speed of the bullet at impact with the block?