Acceleration due to gravity on earth is 'g'. What
will be the weight of a person on a planet
whose mass and radius is half as that of earth
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Answer:
Mass of earth = M
Radius of earth = R
mass of body = m
therefore g acting on the body on earth= GMm/R²
therefore, weight = GMm²/R²
Mass of the other planet = M/2
Radius of that planet = R/2
mass of body = m
therefore, g acting on the body in that planet
= [G(M/2)m]/(R/2)²
= 2GMm/R²
therefore weight of the body = 2GMm²/R²
hope it helped :)
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