# Gravitational Forces of masses in an arc

Five objects, each of mass M, are equally spaced on the arc of a semicircle of radius R as shown in the figure below. An object of mass m is located at the center of curvature of the arc.

(a) If M is 3.4 kg, m is 2.1 kg, and R is 10.0 cm, what is the gravitational force on the particle of mass m due to the five objects? Choose right to be the +x direction and up to be the +y direction.

x component _______ N

y component _______ N

(b) If the object whose mass is m is removed, what is the gravitational field at the center of curvature of the arc? Again, choose right to be the +x direction and up to be the +y direction.

x component _________ m/s^2

y component _________ m/s^2