Question

the radius of eart is R and accleration due to gravity at its surface is g. if a body of mass m is sent to a height of R/4 from the earth surface find the potential energy of system​

Answer 1

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the radius of eart is R and accleration due to gravity at its surface is g. if a body of mass m is sent to a height of R/4 from the earth surface find the potential energy of system

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Increase in potential energy

U=U2-U1

($- \frac{gmm}{r + \frac{r}{4} }) -( - \frac{gm \: m}{r}$)

$\frac{gm \: m}{r} - \frac{4gm \: m}{5r}$

$\frac{gmm}{5r} = \frac{g {r}^{2} m}{5r} = \frac{mgr}{5}$

mg.4h/5 =4/5mgh

$\huge\bf\green{Hope~ it~ helps}$

Answer 2

Answer:

SOLUTION IN A ATTACHMENT

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