The weight of an object is defined as the force with which the earth attracts it. Determine the weight of the moon given the following data: universal constant of gravitation G = 6.67 × 10^ -11 N-m^2/kg^2 , mass of the

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Correct answer: D. 2 × 10^ 20 N

The weight of the moon is defined as the gravitational force exerted by the earth on the moon.

F = \dfrac{G M_e M_m}{r^2}

Substituting the given values:

F = \dfrac{6.67 \times 10^{-11} \times 6 \times 10^{24} \times 7.36 \times 10^{22}}{(3.8 \times 10^8)^2}

F = \dfrac{294.55 \times 10^{35}}{14.44 \times 10^{16}}

F \approx 20.4 \times 10^{19} \text{ N} = 2.04 \times 10^{20} \text{ N}

The closest value is

2 \times 10^{20} \text{ N}

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