a mass spring system moves with simple harmonic motion along the axis between tu

Question

a mass spring system moves with simple harmonic motion along the axis between turning points at x1= 20cm & x2=60cm. (i) at which position does the particle have the greatest magnitude of momentum? (a) 20cm (b) 30cm (c) 40cm (d) some other position (e) the greatest value occurs at multiple points (ii) At which position does the particle have greatest kinetic energy?
(iii) At which position does the particle spring system have the greatest total energy?
for parts (i) to (iii) choose from the 5 possibles

Explanation / Answer

The simple harmonic motion along the axis is between x1 = 20 cm and x2 = 60 cm The equilibrium point will be at x0 = 40 cm i) The momentum will be greater at which the celocity is maximum i.e. at the equilibrium Therefore option (C) is correct ii) The kinetic energy is maximum at the greatest momentum Therefore option (C) is correct iii) The total kinetic energy of the particle spring system is same at any point (conservation of energy) Therefore option (e) is correct Therefore option (C) is correct iii) The total kinetic energy of the particle spring system is same at any point (conservation of energy) Therefore option (e) is correct Therefore option (e) is correct

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