Question

The gravitational force between two objects is F. If masses of both objects are halved without changing distance between them, then the gravitational force would become
(a) F/4
(b) F/2
(c) F
(d) 2 F

Answer 1

If masses of both objects are halved without changing distance between them, then the gravitational force would become F/4.

Explanation:

• We have seen that the masses that are responsible for making the force are being reduced to their half.
• Now since the force that is present between them is proportional directly and depends on the masses.
• Hence being Halved would just reduce the previous force to its fourth part rest all the options being the same. Since the first option has the answer which says fourth part of force. Hence it is correct.

Learn more about the Gravitational force:

Q: Properties of gravitational force

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Q: Gravitational force is known to exist between all bodies in the universe. Due to existence of gravitational force between the earth and moon ,moon should experience a pull towards the earth and viseversa. Do you expect the orbit of the moon to change due to change due to the moon to change due to this force of attraction ? Give reason in support of your answer.

Link: https://brainly.in/question/1550169

Answer 2

If masses of both objects are halved without changing the distance between them, then the gravitational force would become F/4 (option a).

• The gravitational force or the attractive force between the two objects depends mainly on two factors which are:

1. The mass of the first object (m1)
2. The mass of the second object (m2)
3. The distance between both the objects

• The formula is shown below:

   => Force of gravitation (F) = (mass of object 1 × mass of object 2) ÷ distance²

• But F∝ mass of objects (varies proportionally)

• Therefore, If the mass of objects is halved then the equation becomes this:

    => Force of gravitation (F) =( $\frac{m1}{2}$ ×$\frac{m2}{2}$) ÷ d²

    => F =( $\frac{m1.m2}{4}$) ÷ d²

• Therefore, the gravitational force obtained becomes F/4.