The mass of the earth is 6×10^24 kg . Calculate with sign (i) potential energy of a body of mass 33.5kg and (ii)gravitational potential at a distance 3.35 ×10^10 m from the centre of the earth . G =6.67×10^-11.

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$$\begin{gathered} Gravitattional potential energy = U = \frac{G{m}_{e}m}{r} \\ U = \frac{6.67\times {10}^{-11}\times 6\times {10}^{24}\times 33.5}{3.35\times {10}^{10}}=400.2\times {10}^3 Joule \\ gravitatioanl Potential = V=\frac{G{m}_e}{r}=\frac{6.67\times {10}^{-11}\times 6\times {10}^{24}}{3.35\times {10}^{10}}=11.94\times {10}^3 joule per kg \end{gathered}$$

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