What is the gravitational force between two objects?
Answers
Answer:
The gravitational force between two objects is proportional to their masses and inversely proportional to the square of the distance between their centers.
Explanation:
The gravitational force between two objects is proportional to their masses and inversely proportional to the square of the distance between their centers.
Gravitational force F=
r
2
Gm
1
m
2
Case (i) : Mass of one object is doubled i.e m
1
′
=2m
1
∴ F
′
=
r
2
G(2m
1
)m
2
⟹F
′
=2F
Thus gravitational force gets also doubled
Case (ii) : Distance between the objects is doubled i.e r
′
=2r
∴ F
′
=
(2r)
2
Gm
1
m
2
⟹F
′
=
4
F
Thus gravitational force gets reduced by 4 times.
Distance between the objects is tripled i.e r
′
=3r
∴ F
′
=
(3r)
2
Gm
1
m
2
⟹F
′
=
9
F
Thus gravitational force gets reduced by 9 times.
Case (iii) : Mass of both the objects are doubled i.e m
1
′
=2m
1
and m
2
′
=2m
2
∴ F
′
=
r
2
G(2m
1
)(2m
2
)
⟹F
′
=4F
Thus gravitational force becomes 4 times