The mass of the earth is 6.0 x 1024kg and that of the moon is...

WAEC 2015

The mass of the earth is 6.0 x 10²⁴kg and that of the moon is 7.0 x 10²²kg. If the distance between them is 4.0 x 10⁸m, calculate the force of attraction between them. [G = 6.7 x 10^-11Nm²kg^-2]

A. 1.8 x 10⁵N
B. 1.8 x 10¹⁰N
C. 1.8 x 10¹⁵N
D. 1.8 x 10²⁰N

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Correct Answer: Option D

Explanation

F = \(\frac{GM_1M_2}{12^2}\)

F = 6.7 x 10^-11x

F = \(\frac{M_1M_2}{R^2}\)

F = \(\frac{6.7 \times 10^{-11} \times 6.0 \times 10^{24} \times 7.0 \times 10^{22}}{(4 \times 10^8)^2}\)

= 1.8 x 10²⁰N

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