In a galaxy far, far away, a solar system similar to our own contains several pl

Question

In a galaxy far, far away, a solar system similar to our own contains several planets. The mass of one planet in this distant galaxy is 0.5 that of the Earth's mass , and its radius is 0.44 that of the Earth's radius.

What is Fnew, the factor by which the man's weight is reduced if he were orbiting the planet at a distance of 2.4 Earth radii above the planet's surface? i.e., Weight(2.4 Earth radii above planet's surface) = Weight(at planet's surface)/Fnew?

Compare FEarth, the factor by which the man's weight is reduced if he were orbiting the Earth at a distance of 2.4 Earth radii above the Earth's surface, to Fnew.
FEarth > Fnew
FEarth = Fnew
FEarth < Fnew

Explanation / Answer

a. g = 9.8 * 0.76/0.43 *0.43 = 40.28 m/s^2

wt = 78 *40.28 = 3141.84 N

b. R = 40.28/9.8 = 4.11

c. Fnew = 2.6^2 F = 6.76 F

d. Fearth less than Fnew

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