Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Gravitation

Question:

If mass of earth is M, radius is R and gravitational constant is G, then work done to take 1 kg mass from earth surface to infinity will be : 

Options:

√GM/2R

GM/R

√2GM/R

GM/2R

Correct Answer:

GM/R

Explanation:

Work done = \(U_{final} - U_{initial}\)

  = \(U_{\infty} - U_R\)

  = \(0 - (\frac{-GMm}{R})\)  

  =\(\frac{GMm}{R}\)

  = \(\frac{GM}{R}\) ... [As mass m = 1 kg]