A block of unknown mass is attached to a spring with a spring constant of 10 N/m and undergoes simple harmonic motion with an amplitude of 8.0 cm. When the block is 1/4 of the way between its...

A block of unknown mass is attached to a spring with a spring constant of 10 N/m and undergoes simple harmonic motion with an amplitude of 8.0 cm. When the block is 1/4 of the way between its equilibrium position and the endpoint, its speed is measured to be 30.0 cm/s. Calculate the mass of the block and period. 

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To solve this problem, the knowledge of the Hooke’s law is necessary.

Given:

Spring constant (k) = 10 N/m

amplitude = x(max) = 8.0 cm = 0.08 m

speed (v) =...

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