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 0.76 that of the Earth's mass, and its radius is 0.43 that of the Earth s radius. How much would a 78 kg man weigh on the surface of this far away planet? What is R, the ratio of the man's weight on this planet to his weight on Earth? What is Fnew, the factor by which the man s weight is reduced if he were orbiting the planet at a distance of 2.6 Earth radii above the planet's surface? i.e., Weight(2.6 Earth radii above planet's surface) = Weight(at planets surface)/Fnew. Compare FEarth, the factor by which the man's weight is reduced if he were orbiting the Earth at a distance of 2.6 Earth radii above the Earth's surface, to Fnew. FEarth > Fnew FEarth = Fnev FEarth

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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