Answer: One quarter of the force
Explanation:
According to Newton's law of Gravitation, the force [tex]F[/tex] exerted between two bodies of masses [tex]m1[/tex] and [tex]m2[/tex] and separated by a distance [tex]r[/tex] is equal to the product of their masses and inversely proportional to the square of the distance:
[tex]F=G\frac{(m1)(m2)}{r^2}[/tex] (1)
Where [tex]G[/tex]is the gravitational constant
This means that the gravity force decreases when the distance between these two bodies increases.
In this context, if the distance between the capsule and the Earth increases twice, the new distance will be [tex]2r[/tex].
Substituting this distance in (1):
[tex]F=G\frac{(m1)(m2)}{(2r)^2}[/tex] (2)
[tex]F=G\frac{(m1)(m2)}{4r^2}[/tex]
Finally:
[tex]F=\frac{1}{4}G\frac{(m1)(m2)}{r^2}[/tex] >>>This means the force toward Earth becomes one quarter "weaker"
