Question

The gravitational field strength at a distance R from the center of moon is gR. The satellite is moved to a new circular orbit that is 2R from the center of the moon. What is the gravitational field strength of the moon at this new distance?

Answer 1

`g'=(g__R)/(4)`

Step-by-step explanation:

Given:

• gravitational field strength of moon at a distance R from its center,
  `g__R`

• Distance of the satellite from the center of the moon,
  `h=2R`

Now as we know that the value of gravity of any heavenly body is at height h is given as:

`g'=g__(R)} * (R^2)/((2R)^2)`

`g'=(g__R)/(4)`

∴The gravitational field strength will become one-fourth of what it is at the surface of the moon.