(Please help quickly) A new planet MPSM, Mystery Planet of Spartan Men, is discovered following the orbital path of the Mystery Planet of Amazon Women. The gravitational field of the MPSM is measured during a satellite fly-by as 1.33 m/s2 at a distance of 5 planetary radii from the center of MPSM. What is the expected strength of the planet's gravity on its surface?

Explanation:

The strength of the gravitational field produced by a planet at a distance r from the centre of the planet is given by

where

G is the gravitational constant

M is the mass of the planet

r is the distance from the centre of the planet

We can rewrite the equation as

And since the term on the right is constant, we can write

where are the strength of the gravitational field measured at two difference distances r1, r2.

In this problem we have:

when the distance is 5 planetary radii, so

where R is the planetary radius.

Therefore, at the surface,

And the strength of the gravitational field is

mistakes are ok