Arturo O. answered • 11/16/17
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If the weight on the earth is
W = mg
where m=80 kg, then the weight on the planet will be
W' = (15/80)W = (15/80)mg.
But since the mass is the same on the earth and on the planet, the local acceleration of gravity will be
g' = (15/80)g = (15/80)(9.8 m/s2) = 1.84 m/s2
The local acceleration of gravity g' is the gravitational field strength on the planet.
Arturo O.
The apparent mass on the planet is lower than the mass on the earth by a factor of 15/80. But since the mass must be the same on the earth and on the planet, the gravitational acceleration on the planet must be lower by the same factor of 15/80. On either the earth or the planet, the scale measures weight, not mass.
weight on earth: mg = (80)(9.8) N
weight on planet: mg' = (80)g'
(weight on planet)/(weight on earth) = 15/80
(weight on planet)/(weight on earth) = g'/9.8
g'/9.8 = 15/80
g' = 9.8(15/80) m/s2 = 1.8375 m/s2 ≅ 1.84 m/s2
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