Question #01f74

1 Answer
Oct 29, 2015

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.