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Working with center of mass of a three body system

The center of mass of three objects is located at (1,0). One object with a mass of 5 kg is at (-2,-1) and a second object with a mass of 2 kg is at (0,0). Find the coordinates of the third mass of 3 kg.

a.(1.7, 6.7)
b.(2, 6)
c. (1.3, 5.3)
d. (6.7, 1.7)

Solution Preview

Coordinates of the CM is given by

i + 0j = [m1 (-2i- j) + m2 (0i +0j) +m3 (xi +yj) ]/(m1+m2+m3)

= ...

Solution Summary

Not just the answer, full steps and explanations are given.

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