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What happens to the force between two o() the mass of one obj(ui) the distance between the objects is doubled andss of one object is doubled?(itl) the masses of both objects are doubled?he importance of universal law of gravitationertance of universal faw |
Answer» <p>According to law of gravitation, the force between two objects (m1and m2) is proportional to their masses and inversely proportional to the square of the distance(R) between them.</p><p>F = G X m1X m2/ R2 (G = gravitational constant)</p><p>(i) If the mass of one object is doubled</p><p>Then, F = G X 2m1X m2/ R2</p><p> F = 2F , hence force will be doubled.</p><p>(ii) If the distance between the objects is doubled and tripled</p><p>then, F = G X m1X m2/ (2R)2</p><p> F = 4F, hence force become one-fourth of its initial force.</p><p>and F = G X m1X m2/ (3R)2</p><p> F = 9F, hence force become one-ninth of its initial force.</p><p>(iii) If the masses of both objects are doubled</p><p>Then, F = G X 2m1 X 2m2/ R2</p><p> F = 4F , hence force will be fur time more than it actual value.</p> | |