Physics

Problem

A block on a frictionless horizontal surface is attached to a spring and oscillates with amplitude

A_0

. At the equilibrium position its speed is

v_0

. The block receives a brief impulse at the equilibrium position that instantaneously increases its speed to

1.5\,v_0

. All other conditions are unchanged. Which of the following gives the new amplitude

A_{\text{new}}

in terms of

A_0

? a)

A_{\text{new}} = \sqrt{1.5}\,A_0

A_{\text{new}} = 1.5\,A_0

A_{\text{new}} = A_0

A_{\text{new}} = 2.25\,A_0