Question

Find the value of acceleration due to gravity on earth (g). Step-by-step guide. ​

Answer 1

$\sf \pink{ \Huge{ \fbox{ \tt{Answer:-}}}}$

To calculate value of g,we should put the values of G,M and R, namely Universal Law of Gravitation

${ \tt{G=6.7 \times {10}^{ - 11}N/m²kg^{ - 2} \: \: \: \: \: }} \\ { \tt{M= \: 6 \times {10}^{24} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ { \tt{R = 6.4 \times {10}^{6} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}$

${ \tt{g = G\frac{M}{ {R}^{2} } }}$

${ \tt{ = \frac{6.7 \times {10}^{ - 11}nm {}^{2} kg {}^{ - 2} \times 6 \times {10}^{24}kg }{(6.4 \times {10}^{6}) {}^{2} } }} \\ \implies \: { \tt{g = 9.8 {m}s^{ - 2} }}$

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