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A block of unknown mass is attached to a spring of spring constant 6.5 N/m and undergoes simple harmonic motion with an amplitude of 10 cm. When the mass is halfway between its equilibrium position and the endpoint, its speed is measured to be v = 30 cm/s.
i. Calculate the mass of the block.
ii. Find the period of the motion.
iii. Calculate the maximum acceleration of the block.
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