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.