Question: Find the gravitational force between two objects. Use the fact that the gravitational attraction between particles of mass m1 and m2 at a distance r apart is Gm1m2/r2. Slice the objects into pieces, use this formula for the pieces, and sum using a definite integral.
- Find the gravitational force exerted by a thin uniform ring of mass M and radius a on a particle of mass m lying on a line perpendicular to the ring through its center. Assume m is at a distance y from the center of the ring.