3. A block of mass M oscillating with amplitude A on a frictionless horizontal table is connected to an ideal spring of force constant k. The period of its oscillations is T. At the moment when the block is at position x = -A and moving to the right, a ball of clay of mass m dropped from above lands on the block. 2 m O k M x =-A x=0 x = A X = A (a) What is the velocity of the block just before the clay hits? (b) What is the velocity of the block just after the clay hits? (c) What is the new period of the oscillations of the block? (d) What is the new amplitude of the oscillations? Write your answer in terms of A, k, M, and m. (e) Would the answer to part (c) be different if the clay had landed on the block when it was at a different position? Support your answer briefly. (f ) Would the answer to part (d) be different if the clay had landed on the block when it was at a different position? Support your answer briefly