Math, asked by tarun8749, 10 months ago

calculate the value of g step by stepcalculate the value of 6.7 into 10 raise to the power 11 n m square kg square into 6 into 10 raise to the power 24 kg upon 6.4 into 10 ki power 6 m step by step answer ​

Answers

Answered by Zaransha
2
We have,

F=ma -----(1)
(Newton's second law )


and In case of gravitational pull,

F = (G Mm)/(r^2) ------(2)

from (1) and (2)

ma = G Mm/(r^2)

a = GM/(r^2)

since in case of earth we have the body experiencing acceleration denoted by g,

we have,

g = GM/(r^2)

substituting the values we have acceleration to earth as
 =  \frac{6.67 \times  {10}^{ - 11}  \times 6 \times  {10}^{24} }{ {(6.4 \times  {10}^{6}) }^{2} }  \\  = \frac{6.67 \times  {10}^{ - 11}  \times 6 \times  {10}^{24} }{ {(6.4 \times 6.4 \times  {10}^{12}) }^{} } \\  =  \frac{6.67 \times 6}{6.4 \times 6.4}  \times  \frac{  {10}^{ - 11}  \times {10}^{24} }{ {10}^{12} }  \\  = 0.977 \times 10 \\  = 9.8


Therefore the acceleration will be 9.8 m/s^2
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