6. What happens to the force between two objects, if (i) the mass of one object is doubled? T the distance between the objects is doubled and tripled? (iii) the masses of both objects are doubled?
Answers
Answer:
From the relationship, (i) If the mass of one object (say body 1) is doubled, then Thus, the gravitational force between the two objects gets doubled. ... If the distance between the two objects is tripled, then Thus, the gravitational force between the two objects becomes one-ninth.
Explanation:
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Answer:
(i) According to the 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 = G(2mM/d2)
If the mass is doubled for one object.
F = 2F, so the force is also doubled.
(ii) If the distance between the objects is doubled and tripled
If it’s doubled
Hence,
F = (GmM)/(2d)2
F = 1/4 (GmM)/d2
F = F/4
Force thus becomes one-fourth of its initial force.
Now, if it’s tripled
Hence,
F = (GmM)/(3d)2
F = 1/9 (GmM)/d2
F = F/9
Force thus becomes one-ninth of its initial force.
(iii) If masses of both the objects are doubled, then
F = G(2mM/d2)
F = 4F, Force will therefore be four times greater than its actual value.