Question

Object A and Object B are 100 meters apart. If Object A gains some
mass, how does that affect the gravitational force between the two objects?
O A) It increases.
OB) It decreases.
OC) It remains the same.

Answer 1

The gravitational force between the two objects A) It increases.

Explanation:

The gravitational force between two objects is given by:

$F=G\frac{m_1 m_2}{r^2}$ (1)

where

G is the gravitational constant

$m_1, m_2$ are the masses of the two objects

r is the separation between the objects

In this problem, object A and object B are initially at a distance of

r = 100 m

And at that distance, the force between them is

F

Later, object A gains some mass. We notice from eq.(1) that the gravitational force is directly proportional to the mass: therefore, if the mass of either of the two objects increases, then the gravitational force between them also increases. Therefore, the new force will be larger than the original force:

F' > F

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