A planet reduces its radius by 1 % with its mass remaining same . How acceleration due to gravity varies ?

A planet reduces its radius by 1 % with its mass remaining same . How

1.	A planet reduces its radius by 1 % with its mass remaining same . How acceleration due to gravity varies ?
Answer» MASS and radius of the earth be M and R respectively.Acceleration due to gravity, G = GM/R^2When the radius, R’ = R-R/100 = 99R/100 = 0.99RSo, the acceleration due to gravity, g’ = GM/(0.99R)^2or, g’ = 1.02GM/R^2Now, the CHANGE in acceleration due to gravity,=g’ – g=(1.02-1)GM/R^2= (0.02)GM/R^2Thus, the acceleration due to gravity increases by 2%.

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A planet reduces its radius by 1 % with its mass remaining same . How acceleration due to gravity varies ?​

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A planet reduces its radius by 1 % with its mass remaining same . How acceleration due to gravity varies ?