Question

in the simulation, explore how gravitational force varies with changes in mass and distance. which of the following statements is true about gravitational force?
a) gravitational force is directly proportional to mass and inversely proportional to the square of the distance.
b) gravitational force is directly proportional to both mass and distance.
c) gravitational force is inversely proportional to both mass and distance.
d) gravitational force depends only on the mass of the objects.

Explanation:

Newton's law of universal gravitation states that the gravitational force \( F \) between two objects is given by \( F = G\frac{m_1m_2}{r^2} \), 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 of mass. From this formula, we can see that \( F \) is directly proportional to the product of the masses (\( m_1m_2 \)) and inversely proportional to the square of the distance (\( r^2 \)).

Answer:

A. Gravitational force is directly proportional to mass and inversely proportional to the square of the distance.