A particle on a spring moves in simple harmonic motion along the x axis between

Question

A particle on a spring moves in simple harmonic motion along the x axis between turning points x1 = 100 cm and x2 = 140 cm. (i) At which is the following positions does the particle have maximum speed? (a) 100 cm (b) 110 cm (c) 120 cm (d) some other position (e) the same greatest value occurs at multiple points. (ii) At which positions does it have maximum acceleration? Choose from same posibilities (iii) At which position is the greatest net force exerted on the particle? (iv) At which position does the particle have the greatest magnitude of momentum? (v) At which position does the particle have greatest kinetic energy? (vi) At which position does the particle-spring system have the greatest total energy?

Explanation / Answer

Max KE occurs midway between the turning points, so at 120 cm

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