Question

Imagine that a new planet is discovered with two moons of equal mass: Moon A and Moon B. The mass of the new planet is greater than the combined mass of its moons. Moon A is farther away from the new planet than Moon B. What is the planet's gravitational pull on Moon A compared to the planet's gravitational pull on Moon B?

The planet's gravity repels Moon A with a greater force than it repels Moon B, which is why Moon A is farther away.

The gravitational pull on Moon B is greater than on Moon A because Moon B is closer to the new planet than Moon A.

The gravitational pull on Moon B is greater than on Moon A because Moon B is farther away from the new planet than Moon A.

The gravitational pull on Moon A is the same as the gravitational pull on Moon B because distance does not affect the planet's gravity.

Answer 1

Answer: The gravitational pull on Moon B is greater than on Moon A because Moon B is closer to the new planet than Moon A.

Explanation:

The gravitational force exerted by the two objects on each other is inversely proportional to the square of the distance between the objects.

$F=G\frac{mM}{r^2}$

F = gravitational force or pull

G = gravitational constant on that planet

M =  mass of the object-1

m = mass of object-2(Mass of Moon-A or Moon-B)

r = distance between two objects

$Force\propto \frac{1}{r^2}$

With decease in distance 'r' the force between the object increases or vice versa.So, from this we can say that the gravitational pull on Moon-B is more than the gravitational pull on Moon-A because the Moon B is closer than the Moon-A from the new planet.