Question

Question #01f74

Answer 1

Newton's 2nd law states that the result of all the forces applied to a body equals to the body's mass times its acceleration:

`Sigma F=mcdota`

Gravitationnal force is calculated `F=(Gcdotm_1cdotm_2)/d^2`

So if two different bodies of masses `m_1` and `m_2` are both located on the surface of a body of mass `M` it will result in:

`F_1=(Gcdotm_1cdotM)/r^2=m_1*(GcdotM)/r^2`

`F_2=(Gcdotm_2cdotM)/r^2=m_2*(GcdotM)/r^2`

In both cases, the equation is of the form `F=m*a` with `a=(GcdotM)/r^2`

A body's acceleration due to another body's gravitation depends only on the second body's mass and radius.