Peter lays his jack-in-the-box on its side with the lid open, so that Jack, a painted 0.4-kg clown, sticks out horizontally at the end of a spring. Peter then takes a 0.6-kg wad of putty, places it in his favorite slingshot, and fires it at the top of Jack’s head. The putty sticks to the clown’s head, and the clown and putty oscillate with an amplitude of 16 cm and a frequency of 0.38 Hz. Assuming that the box remains immobile, determine

(a) The putty’s speed before the collision, and

(b) The spring constant.