Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Gravitation

Question:

A satellite of mass m is orbiting the earth (of radius R) at a height h from its surface. The total energy of the satellite in terms of go, the value of acceleration due to gravity at the earth's surface, is : 

Options:

\(\frac{mg_oR^2}{2(R+h)}\)

- \(\frac{mg_oR^2}{2(R+h)}\)

\(\frac{2mg_oR^2}{(R+h)}\)

- \(\frac{2mg_oR^2}{(R+h)}\)

Correct Answer:

- \(\frac{mg_oR^2}{2(R+h)}\)

Explanation:

Energy : E = - \(\frac{GMm}{2r}\)

r = R + h ; GM = goR2

E = - \(\frac{mg_oR^2}{2(R+h)}\)