Question

1. is the gravitational force the earth pulls on the moon the same, bigger, or smaller th the gravitational force the moon pulls on the earth? explain using science vocab an ideas.

Explanation:

According to Newton's third law of motion, for every action, there is an equal and opposite reaction. The gravitational force between two objects is a mutual force. The formula for gravitational force is \(F = G\frac{m_1m_2}{r^2}\), where \(G\) is the gravitational constant, \(m_1\) and \(m_2\) are the masses of the two objects, and \(r\) is the distance between their centers. When calculating the gravitational force between the Earth (\(m_E\)) and the Moon (\(m_M\)), \(F_{E - M}=G\frac{m_E m_M}{r^2}\) and \(F_{M - E}=G\frac{m_M m_E}{r^2}\). Since multiplication is commutative (\(m_E\times m_M=m_M\times m_E\)), the magnitudes of the two forces are equal.

Answer:

The gravitational force the Earth pulls on the Moon is the same as the gravitational force the Moon pulls on the Earth.