Three balls, with masses of m , 2 m , and 3 m , are placed at the corners of a s

Question

Three balls, with masses of m, 2m, and 3m, are placed at the corners of a square measuring L on each side, as shown in the figure. The value of m is 2.80 kg, and L = 50.0 cm. Assume this set of three balls is not interacting with anything else in the universe. Note that, on WebAssign, a number like 0.0000456 can be entered as 4.56e-5

What is the magnitude of the net gravitational force acting on the ball of mass 3m?

Three balls, with masses of m, 2m, and 3m, are placed at the corners of a square measuring L on each side, as shown in the figure. The value of m is 2.80 kg, and L = 50.0 cm. Assume this set of three balls is not interacting with anything else in the universe. Note that, on Web Assign, a number like 0.0000456 can be entered as 4.56e-5 What is the magnitude of the net gravitational force acting on the ball of mass 3m?

Explanation / Answer

F1x = -(G*m*3m)*cos45/2L^2 = -2.218595609e?9 N

F1y = (G*m*3m)*cos45/2L^2 = 2.218595609e?9 N

F2y = G*2m*3m/L^2 = 12.550272e?9


Fx = F1x = -2.218595609e?9

Fy = F1y+F2y = 14.768867609e?9

Fnet = sqrt(Fx^2 + Fy^2) = 14.934577896e?9 N

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