The weight of an object is the same on two different planets. The mass of planet A is only 60 percent that of planet B. Find the ratio rA/rB of the radii of the planets.
we can equate the gravitational force from both planets
GMam / ra2 = GMbm / rb2
we get
Ma / ra2 = Mb / rb2
ra / rb = sqrt (ma / mb)
ra / rb = sqrt (0.6mb / mb)
ra / rb = sqrt (0.6)
ra / rb = 0.7745
The weight of an object is the same on two different planets. The mass of planet...
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