The gravitational force on a body of mass 5 kg at the surface of the earth is 50 N. If earth is a perfect sphere, the gravitational force on a satellite of mass 200 kg in a circular orbit of radius same as diameter of the earth is

Options

A. 200 N
B. 400 N
C. 500 N
D. 800 N

Answer

c

Explanation

`F_(1)=(GMm)/(R_(1)^(2))=50`
`F_(2)=(GMm')/(R_(2)^(2))`
`(F_(2))/(F_(1))=(m')/(m)=(R_(1)^(2))/(R_(2)^(2))`
`F_(2)=(200)/(5)xx(1)/(4)xx50=500N.`