How does Newton's second law relate to the force of gravity?

Question

Nora Arzate · Accepted Answer

Gravity is the force between masses. F=ma, so the acceleration of a mass due to gravity will be different on different masses (planets).

When an object experiences acceleration due to a net force, its mass is inversely proportional to the net force's magnitude and directly proportional to the force's direction. We don't need to understand the specifics of gravity to know that it is a FORCE proportional to the mass of an object, be it a pencil, a planet, the moon, or a star. It is this proportionality that causes objects to appear "lighter" on the moon and "heavier" on Jupiter. An object's inherent mass remains constant, but the acceleration caused by gravity (weight) depends on the mass of the attracting body. This is known as a mutual "felt-force"; the sun gravitationally attracts the earth in the same way that the earth feels the sun's gravitational pull.

William Audy · Answer

undefined Newton's second law states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. In the context of gravity, this law relates to the force of gravity acting on an object. The force of gravity on an object is equal to the mass of the object multiplied by the acceleration due to gravity, which is approximately 9.8 meters per second squared on the surface of the Earth. Therefore, according to Newton's second law, the force of gravity experienced by an object is directly proportional to its mass and the acceleration due to gravity.