Calculate the force with which you attract the Earth.

The force with which the Earth attracts an object is called the weight of the object. Calculate the weight of the Moon from the following data.

1. The universal constant of gravitation is $G=6.67\times {10}^{-11} \mathrm{N} {\mathrm{m}}^2 {\mathrm{kg}}^{-2}$.

2. Mass of the Moon is $7.36\times {10}^{22} \mathrm{kg}$.

3. Mass of the Earth is $6\times {10}^{24} \mathrm{kg}$.

4. The distance between the Earth and the Moon is $3.8\times {10}^5 \mathrm{km}$.