A block of mass M on a horizontal frictionless table is connected to a spring (spring constant k). The block is set in motion so that it oscillates about its equilibrium point with a certain amplitude A0. The period of motion is T0 = 2Ï sqrt( M/k ). a. A lump of sticky putty of mass m is dropped onto the block. The putty sticks without bouncing. The putty hits M at the instant when the velocity of M is zero. Find:

1. The new period
2. The new amplitude
3. The change in the mechanical energy of the system.

b. Repeat part (a), but this time assume that the sticky putty hits M at the instant when M has its maximum velocity.