A cart attached to a horizontal spring moves on a frictionless table

PHYSICS · Single correct · CBSE · Physics · Oscillations · Oscillations

Problem

0.50\,\text{kg}

cart attached to a horizontal spring

(k = 200\,\text{N\,m}^{-1})

moves on a frictionless table. When the spring is unstretched, the cart’s speed is

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

. At what displacement from equilibrium will its speed reduce to

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

? (a)

0.071\,\text{m}

(b)

0.050\,\text{m}

(c)

0.087\,\text{m}

(d)

0.122\,\text{m}