A mass is attached to an ideal spring of force constant

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

Problem

2.0\,\text{kg}

mass is attached to an ideal spring of force constant

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

. The system has total mechanical energy

0.50\,\text{J}

. At

t=0

, the mass is at

x = 0.040\,\text{m}

to the right of equilibrium and is moving toward the origin with speed

0.65\,\text{m s}^{-1}

. For the motion

x(t)=A\cos(\omega t + \phi)

, determine: (i) the amplitude

A

, and (ii) the initial phase constant

\phi

(principal value in rad).