Mars has a radius of 3,390 km and a mass of 6.39 x 1023 kg.
a) What is the gravitational field strength on Mars?
b) How much would a 80kg person weigh on Mars?
a)
g=GMR2,g=G\frac{M}{R^2},g=GR2M,
g=6.67⋅10−11⋅6.39⋅10233.392⋅1012=3.71 Nkg,g=6.67\cdot 10^{-11}\cdot \frac{6.39\cdot 10^{23}}{3.39^2\cdot 10^{12}}=3.71~\frac{N}{kg},g=6.67⋅10−11⋅3.392⋅10126.39⋅1023=3.71 kgN,
b)
P=mg,P=mg,P=mg,
P=3.71⋅80≈300 N.P=3.71\cdot 80\approx300~N.P=3.71⋅80≈300 N.
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