At a block attached to a horizontal spring has a displacement of and is moving toward…

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

Problem

t = 0\,\text{s}

a block attached to a horizontal spring has a displacement of

+0.18\,\text{m}

and is moving toward the equilibrium position. The block first passes through

x = 0\,\text{m}

t = 0.19\,\text{s}

and returns to

+0.18\,\text{m}

t = 0.50\,\text{s}

. Its motion can be modeled by

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

. Which of the following is the best value for the phase constant

\varphi

? (a)

0\,\text{rad}

(b)

+1.57\,\text{rad}

(c)

+0.79\,\text{rad}

(d)

-0.79\,\text{rad}