Answer:
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