Question

In the figure below, a square of edge length s is formed by four spheres of masses, m1, m2, m3, and m4. What is the x-component and the y-component of the net gravitational force from them on a central sphere of mass m5. State your answers in terms of the given variables. (Use any variable or symbol stated above along with the following as necessary: and G for the gravitational constant.)

Fx =
Fy

Answer 1

F(x) =-F(1x) +F(2x)+F(3x) – F(4x) =
=(G•m₅•cos45°•2/s√2)•(-m₁+m₂+m₃-m₄)=...
F(y) = F(1y) +F(2y)-F(3y) – F(4y) =
=(G•m₅•sin45°•2/s√2)•( m₁+m₂-m₃-m₄)=...