A block of mass 0.40kg is attached to a light vertical spring with force constant 80Nm−1. The upper end of the spring is fixed to a rigid support. The block is pulled downward until the spring is stretched 0.15m beyond its natural length and released from rest.
parts:[{"content":"(a) Calculate the speed of the block as it passes the spring’s natural length moving upward for the first time."},{"content":"(b) The block continues upward and eventually comes momentarily to rest at the top of its motion. Determine the maximum extension of the spring relative to its natural length at that instant."},{"content":"(c) After several oscillations, a small amount of sticky clay (mass 0.10kg) is dropped from rest directly onto the block at the instant the block passes the natural length moving downward. Assuming the clay sticks, calculate the new amplitude of the ensuing oscillations."}]