Question

multiple choice question
which equation represents the law of universal gravitation?
○ $f = g\frac{m_1m_2}{d^2}$
○ $f = g\frac{d^2}{m_1m_2}$
○ $f = \frac{gd}{m}$
○ $f = \frac{gm}{d}$

Explanation:

The law of universal gravitation states that the gravitational force \( F \) between two objects is directly proportional to the product of their masses \( m_1 \) and \( m_2 \), and inversely proportional to the square of the distance \( d \) between their centers of mass. The gravitational constant is \( G \). So the formula is \( F = G\frac{m_1m_2}{d^2} \).

Answer:

\( F = G\frac{m_1m_2}{d^2} \) (the first option)