Question

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 ​

Answer 1

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