find g on planet whose mass is 5 times the mass of earth and radius is 2 times radius of earth
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On the surface of Earth,
g = G M / R²
On the surface of another Planet:
g' = G M' / R'²
Given M' = 5 M and R' = 2 R
So, g' / g = (M' / M) * (R/R')²
= 5 * (1/2)² = 5/4
Hence g' = 1.25 g
g = G M / R²
On the surface of another Planet:
g' = G M' / R'²
Given M' = 5 M and R' = 2 R
So, g' / g = (M' / M) * (R/R')²
= 5 * (1/2)² = 5/4
Hence g' = 1.25 g
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