A block of mass 0.45kg is attached to an ideal spring with spring constant 55Nm−1 on a frictionless surface. When the block is pulled to x=+0.10m and released from rest, it completes one full oscillation in 0.63s.
(a) Using the given mass and spring constant, calculate the theoretical period of oscillation. Show your work.
(b) The block is now pulled to x=+0.20m and again released from rest. Predict the period for this larger-amplitude oscillation.
(c) Justify your prediction in part (b) by discussing how the relevant physical quantities influence the period.