A body weighs 60 kg on the surface of earth. How much will it weigh on the surface of Mars, whose mass is 1/9 and whose radius is 1/2 of that of earth?
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Weight of the body on Earth = 90 kg
Therefore, mass of the body (m) = 90 kg
Mass on Mars = 1/9 m
Radius = ½ of that of Earth
Therefore, F = mg = m [G M/Re2]
F Mars/F Earth = m [G M/Re2] Mars/ m [G M/Re2] Earth
F Mars/90 kg = (M earth/9)/ (M earth) x (R Earth)e2/ (R Earth/2)e2 = 4/9
F Mars = 90 x 4/9 = 40 kg
Therefore, mass of the body on Mars is 40 kg.
Therefore, mass of the body (m) = 90 kg
Mass on Mars = 1/9 m
Radius = ½ of that of Earth
Therefore, F = mg = m [G M/Re2]
F Mars/F Earth = m [G M/Re2] Mars/ m [G M/Re2] Earth
F Mars/90 kg = (M earth/9)/ (M earth) x (R Earth)e2/ (R Earth/2)e2 = 4/9
F Mars = 90 x 4/9 = 40 kg
Therefore, mass of the body on Mars is 40 kg.
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40kg is the answer for this question
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