A block attached to a light horizontal spring oscillates without friction

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

Problem

A 0.40 kg0.40\,\text{kg} block attached to a light horizontal spring oscillates without friction. At one instant it is 0.080 m0.080\,\text{m} to the right of the equilibrium position and moving leftward with a speed of 0.30 m s−10.30\,\text{m\,s}^{-1}. The spring constant is 55 N m−155\,\text{N\,m}^{-1}. (a) Calculate the total mechanical energy of the system at that instant. Show all work and include appropriate units. (b) Determine the amplitude of the oscillation. (c) Find the maximum speed attained by the block during its motion.

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