Three uniform spheres are located at the corners of an equilateral triangle. Each side of the...
Three uniform spheres are located at the corners of an
equilateral triangle. Each side of the triangle has a length of
2.80 m. Two of the spheres have a mass of 2.10 kg each. The third
sphere (mass unknown) is released from rest. Considering only the
gravitational forces that the spheres exert on each other, what is
the magnitude of the initial acceleration of the third
sphere?
_______m/s2
Homework Answers
Force, F1 = G m1 m2/r^2
F1 = (6.67 x 10^-11 x 2.1 x m) /2.8^2 = 1.79 x 10^-11 m
Force, F2 = F1 = 1.79 x 10^-11 m
Force, F = sqrt (F1^2 + F2^2 + 2 F1 F2 cos60)
F = 3.09 x 10^-11 m N
Acceleration, a = F/m = 3.09 x 10^-11 m/s^2
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