6. 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?
Answers
Answer:
a.If the mass of one of the objects is doubled, then the force of gravity between them is doubled. If the mass of one of the objects is tripled, then the force of gravity between them is tripled. If the mass of both of the objects is doubled, then the force of gravity between them is quadrupled; and so on.
b.If the distance between the two objects is doubled, then Thus, the gravitational force between the two objects becomes one-fourth. If the distance between the two objects is tripled, then Thus, the gravitational force between the two objects becomes one-ninth.
c.If the mass of both of the objects is doubled, then the force of gravity between them is quadrupled; and so on. Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces.
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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?
December 26, 2019avatar
Rebel Sobti
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ANSWER
F=
R
2
GMm
(i)
If one mass say, m is doubled, then force is
F
′
=
R
2
2GMm
=2F the force gets doubled.
(ii)
If the distance is doubled and tripled-
F
′
=
(2R)
2
2GMm
=
4
F
and,
F
′
=
(3R)
2
2GMm
=
9
F
(iii)
If both masses are doubled, then force is
F
′
=
R
2
4GMm
=4F the force gets quadrupled.
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