What happens to the force between two objects, if

(i) The mass of one object is doubled?

(ii) The distance between the objects is doubled and tripled?

(iii) The masses of both objects are doubled?

Asked by Shivani Kumari | 2 years ago |  231

1 Answer

Solution :-

(i)

According to universal law of gravitation, the force between 2 objects (m1 and m2) is proportional to their plenty and reciprocally proportional to the sq. of the distance(R) between them.

\( F=\frac{G2m_1m_2}{^2}\)

If the mass is doubled for one object.

F = 2F, so force is also doubled.

(ii)

If the distance between the objects is doubled and tripled

If it’s doubled

\( F=\frac{(Gm_1m_2)}{2R^2}\)

F = 4F, Force thus becomes one-fourth of its initial force.

If it’s tripled

Hence,

\( F=\frac{(Gm_1m_2)}{3R^2}\)

F = 9F, Force thus becomes one-ninth of its initial force.

(iii)

If masses of both the objects are doubled, then

\( F=\frac{(G2m_12m_2)}{R^2}\)

F = 4F, Force will therefore be four times greater than its actual value.

Answered by Vishal kumar | 2 years ago

Related Questions

An object of mass, m is moving with a constant velocity, v. How much work should be done on the object in order to bring the object to rest?

Class 9 Science Gravitation View Answer

Illustrate the law of conservation of energy by discussing the energy changes
which occur when we draw a pendulum bob to one side and allow it to oscillate. Why
does the bob eventually come to rest? What happens to its energy eventually? Is it a
violation of the law of conservation of energy?

Class 9 Science Gravitation View Answer

The volume of a 500 g sealed packet is 350 cm3 . Will the packet float or sink in water if the density of water is 1 g cm-3 ? What will be the mass of the water displaced by this packet?

Class 9 Science Gravitation View Answer

The volume of 50 g of a substance is 20 cm3 . If the density of water is 1 g cm-3 , will the substance float or sink?

Class 9 Science Gravitation View Answer

Why a block of plastic does released under water come up to the surface of water?

Class 9 Science Gravitation View Answer