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BACK Chapter 07, Problem 014 The figure here shows an overhead view of three hor

ID: 1794657 • Letter: B

Question

BACK Chapter 07, Problem 014 The figure here shows an overhead view of three horizontal forces acting on a cargo canister that was initially force magnitudes are F1-2.50 N, F2-3.80 N, and F3 10.0 N, and the indicated angles are 2-47.0 and 3-32.0. what is the net work done on the canister by the three forces during the first 4.00 m of displacement? stationary but that now moves across a frictionless floor. The Unit the tolerance is +/-5% will learn while you earn points based on the Point Potential Policy set by your instructor By accessing this Question Assistance, you

Explanation / Answer

F1=2.50N, F2=3.80N and F3=10.0N

2=47 deg, 3 = 32.0deg

F1x = -2.50 N

F1y=0.0 N

F2x=F2cos2 = -3.80cos47.0 = -2.6 N

F2y=F2cos2 = -3.80sin47.0 = -2.78 N

F3x=F3cos3 = 10.0cos32.0 = 8.48 N

F3y=F3cos3 = 10.0sin32.0 = 5.3 N

Fnetx=F1x+F2x+F3x= -2.50-2.60+8.48 = 3.38 N

Fnety=F1y+F2y+F3y= 0.0-2.78+5.30 = 2.52 N

Fnet=sqrt(Fnetx^2+Fnety^2)=sqrt(3.38^2+2.52^2) = 4.22 N

Wnet = Fnet*d = 4.22*4.0 = 16.88 J