A block is connected to a spring of force constant on a smooth horizontal table

PHYSICS · Subjective · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

200\,\text{g}

block is connected to a spring of force constant

50\,\text{N}\,\text{m}^{-1}

on a smooth horizontal table. The block performs simple harmonic motion of amplitude

6.0\,\text{cm}

. At

t = 0

the block passes through the equilibrium position moving in the positive

x

-direction with its maximum speed. a) Calculate the time period of the motion. b) Find the time taken, starting from

t = 0

, for the block to travel from the displacement

+3.0\,\text{cm}

+6.0\,\text{cm}

for the first time. c) Express the time obtained in part (b) as a fraction of the complete period.