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help please! :0 The helicopter view in the figure shows two people pulling on a

ID: 251316 • Letter: H

Question

help please! :0

The helicopter view in the figure shows two people pulling on a stubborn mule. The person on the right pulls with a force F_1 of magnitude 104 N and direction of theta_1 = 65.0 degree. The person on the left pulls with a force F_2 of magnitude 97.3 N and direction of theta_2 = 75.0 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

a) Fnet = F1 + F2

Fnetx = F11x + F2x = F1cos1 + F2cos2 = 104cos65 + 97.3cos75 = 69.12 N i^

Fnety= F11y + F2y = F1sin1 + F2sin2 = 104sin65 + 97.3sin75 = 188.24 N j^

Fnet = 69.12 N i^ + 188.24 N j^

b) By Using Newton’s second law,

Fnet + F3 = 0    => F3 = - Fnet = - 69.12 N i^ - 188.24 N j^