Oscillator A is a block on a frictionless surface attached to a spring with constant

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

Problem

Oscillator A is a 0.50 kg0.50\,\text{kg} block on a frictionless surface attached to a spring with constant 100 N/m100\,\text{N/m}. It is released from rest at amplitude 0.080 m0.080\,\text{m}. Oscillator B has mass 0.30 kg0.30\,\text{kg} and is attached to a spring with constant 200 N/m200\,\text{N/m}. (a) Determine the amplitude ABA_B required for Oscillator B to have the same total mechanical energy as Oscillator A. (b) Using that amplitude, calculate the ratio of the maximum speed of Oscillator B to that of Oscillator A.

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