A block of mass is attached to an ideal spring and performs simple harmonic motion…

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

Problem

A block of mass 0.50 kg0.50\,\text{kg} is attached to an ideal spring and performs simple harmonic motion along a straight line with angular frequency 6.0 rad s−16.0\,\text{rad}\,\text{s}^{-1}. At an instant when its displacement is 0.800.80 times its amplitude, the kinetic energy of the block is measured to be 4.32 J4.32\,\text{J}. (i) Determine the amplitude of oscillation. (ii) Calculate the force constant of the spring. (iii) Find the total mechanical energy of the system. (iv) Obtain the kinetic energy of the block when its displacement is 0.300.30 times the amplitude.

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