Question

Two point masses are located a distance, D, apart. The gravitational force of attraction between them can be quadrupled by changing the distance to.A D/2
b.2D
c.D/4
d.4D

Answer 1

Option (A) is correct.

Explanation:

The force of gravity is given by

$F=\frac{G m1 m2}{D^{2}}$

when distance is made half= d= D/2

$F'=\frac{G m1 m2}{(D/2)^{2}}$

$F'= 4\frac{G m1 m2}{D^{2}}$

F'= 4 F

so the force is quadrupled when the distance is D/2

Answer 2

A. D/2

⇒The gravitational force of attraction can be given by:

The magnitude of the force is directly proportional to the masses of the two objects and inversely proportional to the square of the distance between the two objects.

• $F=\frac{G*m_1*m_2*}{D^2}$

In the question it is said the gravitational force is quadrupled.

Thus, the distance will be half.

It can be shown as:

$F'=\frac{G*m_1*m_2}{(D/2)^2} \\\\F'=4 *\frac{G*m_1*m_2}{D}\\\\F'=4F$

Learn more:

brainly.com/question/7746145