Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

The figure here shows an overhead view of three horizontal forces acting on a ca

ID: 1509919 • Letter: T

Question

The figure here shows an overhead view of three horizontal forces acting on a carpo canister that was initially stationary but that now moves across a frictionless floor. The force magnitudes are F_1 - 2.80 N. F_2 - 3.80 N, and F_3 - 10.0 N, and the indicated angles are theta_2 - 51.0 degree and theta_3 - 31.0 degree. What is the net work done on the center by the three forces during the first 4.30 m of displacement? Number Unit the tolerance is +/-2% By accessing this Question Assistance, you will learn while you earn point potential policy set by your instructor.

Explanation / Answer

f1x = -2.8 N

f2x = -3.8 sin51 = -2.95 N

f2y = -3.8cos51 = -2.39 N

f3x = 10 cos31 = 8.57 N

f3y = 10 sin31 = 5.15 N

fnet = (8.57-2.8-2.95)i+(5.15-2.39)j = 2.82 i+2.76 j

fnet = sqrt(2.82^2+2.76^2) = 3.95 N

work = f*d = 3.95*4.3 = 16.99 J