A block attached to a friction-less horizontal spring oscillates with amplitude and…

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A 0.20 kg0.20\,\text{kg} block attached to a friction-less horizontal spring oscillates with amplitude 10 cm10\,\text{cm} and angular frequency 5 s−15\,\text{s}^{-1}. The block is released from rest at the extreme right position at t=0t=0. How much time (approximately) will elapse before it first reaches a displacement of 5 cm5\,\text{cm} from the equilibrium position? (a) 0.10 s0.10\,\text{s} (b) 0.31 s0.31\,\text{s} (c) 0.21 s0.21\,\text{s} (d) 0.42 s0.42\,\text{s}

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