The mass of the earth is `6 × 10^(24)` kg and that of the moon is` 7.4 xx 10^(22)` kg. If the distance between the earth and the moon is `3.84xx10^(5)` km, calculate the force exerted by the earth on the moon. (Take G `= 6.7 xx 10^(–11) N m^(2) kg^(-2)`)

Explanation

To calculate the gravitational force exerted by the Earth on the Moon, we can use Newton's law of universal gravitation, which states:

\[ F = \frac{G \cdot m_1 \cdot m_2}{r^2} \]

Where:
- \( F \) is the gravitational force,
- \( G \) is the universal gravitational constant,
- \( m_1 \) is the mass of the first object (Earth),
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