A planet has a mass of 6.15 × 1023 kg and a radius of 3.25 × 106 m. (a) What is the acceleration due to gravity on this planet? (b) How much would a 79.4-kg person weigh on this planet?

1 answer

F = m g = G M m /R^2
so
g = G M/R^2 =
6.67*10^-11*6.15*10^23/[(3.25^2)*10^12]
= 3.88 * 10^0 = 3.88 m/s^2
about 1/3 of earth g
weight = m g = 79.4 * 3.88 = 308 Newtons
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