A block attached to a spring with passes through the equilibrium position at with…

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

1.0\,\text{kg}

block attached to a spring with

k=16\,\text{N\,m}^{-1}

passes through the equilibrium position at

t=0

with velocity

+0.50\,\text{m\,s}^{-1}

(toward

+x

). Taking

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

, the phase constant

\phi

(in radians, confined to

-\pi<\phi\le \pi

) is (a)

\dfrac{\pi}{2}

(b)

-\dfrac{\pi}{2}

(c)

0

(d)

\pi