Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Gravitation

Question:

The work done to raise a mass m from the surface of the earth to a height h, which is equal to the radius of the earth, is : 

Options:

\(\frac{3}{2}\) m g R

m g R

2 m g R

\(\frac{1}{2}\) m g R

Correct Answer:

\(\frac{1}{2}\) m g R

Explanation:

Work done : W = Ufinal - Uinitial

Ufinal = -\(\frac{G M m}{2 R}\)

Uinitial = -\(\frac{G M m}{R}\)

W = \(\frac{G M m}{2 R}\) = \(\frac{m g R}{2}\) (∵ GM = gR2)