Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Gravitation

Question:

A research satellite of mass 200 kg circle the earth in an orbit of average radius 3R/2, where R is the radius of the earth. Assuming the gravitational pull on the mass of 1 kg on the earth's surface to be 10 N, the pull on the satellite will be : 

Options:

871 N

1212 N

960 N

1280 N

Correct Answer:

871 N

Explanation:

\(g_{eff} = g (1 + \frac{h}{R})^{-2}\)

\(g_{eff} = g (1 + \frac{1}{2})^{-2}\)

\(g_{eff} = \frac{4}{9}g\)

\(F = mg_{eff} = 200 * \frac{4}{9}*9.8\)

F = 871 N