A block of mass is attached to a light vertical spring of force constant and set into…

PHYSICS · Subjective · CBSE · Physics · Oscillations · Oscillations

Problem

A block of mass 0.50 kg0.50\,\text{kg} is attached to a light vertical spring of force constant 200 N m−1200\,\text{N\,m}^{-1} and set into small–amplitude oscillations. (i) Calculate the initial time period of oscillation of the system. (ii) The mass of the block is then increased to 0.80 kg0.80\,\text{kg} while the spring remains unchanged. Determine the new time period. (iii) Find the percentage change in the time period caused by adding the extra mass. Express your answer correct to two significant figures.

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