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The helicopter view in the figure shows two people pulling on a stubborn mule. T

ID: 2128777 • Letter: T

Question

The helicopter view in the figure shows two people pulling on a stubborn mule. The person on the right pulls with a force Farrowbold 1 of magnitude 96.0 N and direction of?1 = 65.0 degree. The person on the left pulls with a force Farrowbold 2 of magnitude 91.0 N and direction of ?2 = 73.0 degree. Find the single force that is equivalent to the two forces shown. The forces are measured in units of newtons (symbolized N). Find the force that a third person would have to exert on the mule to make the resultant force equal to zero.

Explanation / Answer

Force F2 = -(91 cos(73) i + 91 sin(73) j)
= (-26.61 i + 87.02 j)N

Also
F1 = 96 cos(65) i + 96sin(65) j
= (40.57 i + 87 j)N

Resultant Force = F1+ F2 = (13.96 i + 174.02 j) N

Force that the third person would be = -13.96 i -174.02 j