If one of the mass is doubled and another mass is reduced to its one fourth value. Also the distance is increased by 4 times. What will be the new force between the object if initial force was F.
please answer
Answers
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.