A vertical spring of force constant rests on the floor

PHYSICS · Single correct · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

A vertical spring of force constant

800\,\text{N/m}

rests on the floor. A

0.50\,\text{kg}

sphere is gently placed on the spring and then pushed downward so that the spring is compressed

x

from its natural length and the sphere is released from rest. The sphere rises after leaving the spring and reaches a maximum height of

1.2\,\text{m}

above the point of release (air resistance is negligible). What is the value of

x

? (a)

0.17\,\text{m}

(b)

0.35\,\text{m}

(c)

0.12\,\text{m}

(d)

0.087\,\text{m}