Question

The force with which the earth attracts an object is called weight of the object. Calculate the weight of the moon from the following data : The universal constant of gravitation ($G=6.67\times {10}^{-11}N-m^2/k{g}^2$ , mass of the moon $=7.36\times {10}^{22}kg$, mass of the earth $=6\times {10}^{24}kg$ and the distance between the earth and the moon $=3.8\times {10}^{5}km.$)

Answer 1

Given:

$G=6.67\times {10}^{-11}N-m^2/k{g}^2{M}_m=7.36\times {10}^{22}kg{M}_e=6\times {10}^{24}kgr=3.8\times {10}^{5}km$

The attracting force is given as,

$F=G\frac{m_m{m}_e}{r^2}$

$=6.67\times {10}^{-11}\times \frac{6\times {10}^{24}\times 7.36\times {10}^{22}}{{\left(3.8\times {10}^8\right)}^2}$

$=2.04\times {10}^{20}N$

Thus, the weight of the moon is $2.04\times {10}^{20}N$.