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InterviewSolution
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Prove that if the earth attracts two bodies placed at same distance from the center of the earth with the same force, then their masses are equal. |
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Answer» tion:(i) Let the two BODIES have MASSES m1 and m2 and they are placed at the same distance R from the centre of the earth. According to the question, if the same force acts on both of them, then F1 = GMm1 R2 F2 = GMm2 R2 As, F1 = F2Hence, = GMm1 R2 = GMm2 R2 So, m1 = m2 their masses will be same.(ii) Mathematically, g = GM R2 where, g = acceleration due to gravity G = universal gravitational constant M = mass of the earth and R = radius of the earth(iii) G is known as the universal gravitational constant because its VALUE REMAINS same all the TIME everywhere in the universe, applicable to all bodies whether celestial or terrestrial |
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