A cart is attached to a horizontal spring of constant on a nearly frictionless track

PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A 0.20 kg0.20\,\text{kg} cart is attached to a horizontal spring of constant 80 N m−180\,\text{N\,m}^{-1} on a nearly frictionless track. The spring is compressed 0.15 m0.15\,\text{m} from equilibrium and the cart is released from rest. (a) Calculate the total mechanical energy stored in the cart–spring system immediately after release. (b) After several oscillations, non-conservative effects reduce the amplitude to 0.050 m0.050\,\text{m}. Determine the new total mechanical energy at that moment. (c) Compute the percentage decrease in total mechanical energy between parts (a) and (b). (d) Identify one plausible physical mechanism—other than a change in the spring constant—that could account for the energy loss you calculated, and briefly describe how it removes mechanical energy from the system.

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