State universal law of gravitation. Establish the relation Me = gRe2/G

1.	State universal law of gravitation. Establish the relation Me = gRe2/G, where Me and Re are the mass and radius of Earth respectively.
Answer» The universal law of gravitation states that everybody in the universe attracts every other body with a force which is directly proportional to their masses and inversely proportional to the square of distance between them. F ∝ \(\frac {m_1m_2}{r^2}\) ⇒ F = \(\frac {Gm_1m_2}{r^2}\) For the body of mass ‘m’ on earth. F = m_g = \(\frac {GM_em}{R_e^2}\) ⇒ M_e = \(\frac {R_e^2g}{G}\).

State universal law of gravitation. Establish the relation Me = gRe2/G, where Me and Re are the mass and radius of Earth respectively.

Answer»

The universal law of gravitation states that everybody in the universe attracts every other body with a force which is directly proportional to their masses and inversely proportional to the square of distance between them.

F ∝ \(\frac {m_1m_2}{r^2}\)

⇒ F = \(\frac {Gm_1m_2}{r^2}\)

For the body of mass ‘m’ on earth.

F = m_g = \(\frac {GM_em}{R_e^2}\)

⇒ M_e = \(\frac {R_e^2g}{G}\).

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State universal law of gravitation. Establish the relation Me = gRe2/G, where Me and Re are the mass and radius of Earth respectively.

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