Question

explain how gravitational force is affected if the mass of both objects is halved and the distance between them is also halved.

Explanation:

According to Newton's law of universal gravitation, the gravitational force formula is \( F = G\frac{m_1m_2}{r^2} \). When \( m_1'=\frac{1}{2}m_1 \), \( m_2'=\frac{1}{2}m_2 \), and \( r'=\frac{1}{2}r \), substitute these into the formula: \( F'=G\frac{\frac{1}{2}m_1\times\frac{1}{2}m_2}{(\frac{1}{2}r)^2}=G\frac{\frac{1}{4}m_1m_2}{\frac{1}{4}r^2}=G\frac{m_1m_2}{r^2}=F \).

Answer:

The gravitational force remains the same.