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(A) The acceleration due to gravity on Earth is given by $g = \frac{GM}{R^2}$.For the planet, the mass is $M' = 4M$ and the radius is $R' = R$.Therefo

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$400$

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(A) The acceleration due to gravity on Earth is given by $g = \frac{GM}{R^2}$.For the planet, the mass is $M' = 4M$ and the radius is $R' = R$.Therefore, the acceleration due to gravity on the planet is $g' = \frac{GM'}{R'^2} = \frac{G(4M)}{R^2} = 4g$.Given $g = 10 \,ms^{-2}$, the acceleration due to gravity on the planet is $g' = 4 	imes 10 = 40 \,ms^{-2}$.The work done in lifting a body of mass $m = 5 \,kg$ through a height $h = 2 \,m$ is given by $W = m g' h$.Substituting the values, $W = 5 \,kg 	imes 40 \,ms^{-2} 	imes 2 \,m = 400 \,J$.

The mass of a spherical planet is $4$ times the mass of the earth, but its radius $(R)$ is the same as that of the earth. How much work is done in lifting a body of mass $5 \,kg$ through a distance of $2 \,m$ on the planet (in $\,J$)? (Take $g = 10 \,ms^{-2}$ for Earth)

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