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people pull simultaneously on a stubborn donkey. Jack pulls directly ahead of th

ID: 1422882 • Letter: P

Question

people pull simultaneously on a stubborn donkey. Jack pulls directly ahead of the donkey with a torce of 86.7 N, Jill pulls with 67.1 N in a direction 45degree to the left, and Jane pulls in a direction 45degree to the right with 129 N. (Since the donkey is involved with such uncoordinated people, who can blame it for being stubborn?) Find the magnitude of the net force the people exert on the donkey. What is the direction of the net force? Express this as the angle from straight ahead between 0degree and 90degree, with a positive sign for angles to the left and a negative sign for angles to the right.

Explanation / Answer

here

F1 = 86.7 + 67.1 cos 45 + 129 cos 45

F1 = 225.36 N


F2 = 129 sin 45 - 67.1 cos 45

F2 = 43.76 N


Fnet^2 = F1^2 + F2^2


Fnet^2 = 225.26^2 + 43.76^2

Fnet = 229.47 N

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tan theta = F2/F1

tan theta = 43.76/225.26

theta = 11 deg