A block of mass attached to a spring of constant oscillates with amplitude and…

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

Problem

A block of mass

m

attached to a spring of constant

k

oscillates with amplitude

A

and reaches a maximum speed

v_{\text{max}}

. What is the speed of the block when it is at a displacement

x = \tfrac{A}{\sqrt{2}}

from equilibrium? (a)

\dfrac{v_{\text{max}}}{\sqrt{3}}

(b)

\dfrac{v_{\text{max}}}{\sqrt{2}}

(c)

\dfrac{v_{\text{max}}}{2}

(d)

\dfrac{\sqrt{3}}{2}\,v_{\text{max}}