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the distance between pluto and sun is 40 time the earth. the mass of pluto and earth be equal what will be the ratio of gravitational force |
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Answer» The ratio of gravitational force of sun on EARTH and Pluto is 1600Distance between pluto and sun = 40 x DISTANCE of earth from sun.Let distance of earth from sun = rThen distance of pluto from sun = 40 rLet mass of earth = MeLet mass of pluto = MpGiven Me = MP = MLet m be the mass of the sunGravitation force is given by F = \frac{G M1 M2}{d^{2} } d 2 GM1M2 Therefore,Force of sun on earth , Fe= G M1 M2 / r^2 = G Mm/r^{2}r 2 Force of sun on pluto , Fp= G M m / (40r)^{2}(40r) 2 = G Mm /1600r^{2}r 2 Ratio of FORCES : Fe/Fp = 1600 |
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