1. Find the force between planet and object when their distance is increased by 3 time and mass of the object is reduced by 2 times. (Assume both are point objects)
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Class 11
>>Physics
>>Gravitation
>>Newton's Law of Gravitation
>>What happens to the gravitational force
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What happens to the gravitational 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?
Give reasons in each case
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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.
Answered by
1
Answer:
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
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