session masteringphysics.com/myct/itemViewPassignmentProbleml -41 Part A A const

Question

session masteringphysics.com/myct/itemViewPassignmentProbleml -41 Part A A constant force F-20i 3 ij N acts on an object as it moves along a calculate the wok done by Fusing eseanernate waysof e der poduct w-Faoree staight are path ifthe objects displacement is d 1 47jm cale the done by P ing eese anemate ways of wrung the Express your answer using two significant figures. Part B calculate the work done by F usingthese alternate ways of wring te dot product W-F d, F, d, Express your answer significant figures

Explanation / Answer

Part (A)

The angle of the force is theta1:

theta1 = arctan( Fy / Fx ) = arctan(3.1/2) = 57.171 degrees

The angle of the displacement is theta2:

theta2 = arctan(y/x) = arctan(4.7/1.1) = 76.827 degrees

Therefore teh angle theta between the force and the displacement is:

theta = theta2 - theta1 = 76.827 - 57.171 = 19.656 degrees

F = sqrt((Fx)^2 + (Fy)^2) = sqrt(2*2 + 3.1*3.1) = 3.6892 N

d = sqrt(x^2+ y^2) = sqrt(1.1*1.1 + 4.7*4.7) = 4.82701 m

W = F d cos(theta) = (3.6892) * (4.82701) * cos(19.656) = 17 J

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Part (B)

W = Fx x + Fy y = (2.0) * (1.1) + (3.1) * (4.7) = 17 J

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