Question

- What gravitational force does the moon produce on the earth it
the centers of the moon and earth are 3.88x10ºm apart and the
moon has a mass of 7.34x1022kg?
GIVEN:
FORMULA:
WORK:

Answer 1

The gravitational force between the Earth and the Moon is $1.94\cdot 10^{20} N$

Explanation:

The gravitational force between two objects is given by:

$F=G\frac{m_1 m_2}{r^2}$

where :

$G=6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2}$ is the gravitational constant

m1, m2 are the masses of the two objects

r is the separation between them objects

In this problem, we are given:

$m_1 = 7.34\cdot 10^{22}kg$ (mass of the Moon)

$m_2 = 5.98\cdot 10^{24}kg$ (mass of the Earth)

$r=3.88\cdot 10^8 m$ (distance between Earth and Moon)

Substituting into the formula, we find the force:

$F=\frac{(6.67\cdot 10^{-11})(7.34\cdot 10^{22})(5.98\cdot 10^{24})}{(3.88\cdot 10^8)^2}=1.94\cdot 10^{20} N$

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