Question

The gravitational attractive force between two masses is F. If the masses of both the objects are doubled, what will be the gravitational attractive force? A B C D (A) Four times (B) Halved (C) Doubled (D) One fourth​

Answer 1

Answer:(D) One fourth​

The gravitational attractive force between two masses is F. If the masses of both the objects are doubled, what will be the gravitational attractive force?

------> one fourth(quarter)

Answer 2

Concept Introduction: Gravitational force is a natural force.

Given:

We have been Given: The gravitational attractive force between two masses is F.

To Find:

We have to Find: If the masses of both the objects are doubled, what will be the gravitational attractive force? A B C D (A) Four times (B) Halved (C) Doubled (D) One fourth

Solution:

According to the problem, we know

$F = \frac{Gm1m2}{ {r}^{2} }$

therefore if the masses are doubled,

$F = \frac{G \times 2m1 \times 2m2}{ {r}^{2} } \\ F = 4 \times \frac{Gm1m2}{ {r}^{2} }$

the force becomes Four times the original force. The correct option is Option No. A, Four Times.

Final Answer: The force becomes Four times the original force. The correct option is Option No. A, Four Times.

#SPJ3