In the figure, three 5.95 kg spheres are located at distances d1 = 0.220 m, and
ID: 1374083 • Letter: I
Question
In the figure, three 5.95 kg spheres are located at distances d1 = 0.220 m, and d2 = 0.435 m. What are the (a) magnitude and (b) direction (relative to the positive direction of the x axis) of the net gravitational force on sphere B due to spheres A and C?
In the figure, three 5.95 kg spheres are located at distances d1 = 0.220 m, and d2 = 0.435 m. What are the (a) magnitude and (b) direction (relative to the positive direction of the x axis) of the net gravitational force on sphere B due to spheres A and C?Explanation / Answer
he force between 2 masses = Gm1m2/d^2
Force of A on B = Gx5.95x5.95 / 0.220^2 = 6.67x10^-11 x 35.4025 / 0.0484 = 4.8788 x 10^-8 N upwards
Force of C on B = Gx5.95x5.95 / 0.435^2 = 6.67x10^-11 x 35.4025 / 0.189225 = 1.247 x 10^-8 N to the right
Resultant = sqrt [(4.8788x^10^-8)^2 + (1.247x^10^-8)^2] = 5.0356 x 10^-8 N
If theta is the angle to the positive x axis:
theta = tan-1[4.8788x10^-8 / 1.247x10^-8] = tan-1[4.8788 / 1.247] = 75.6 degrees
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