Figure shows three forces applied to a trunk that moves a trunk that rightward b
ID: 2031493 • Letter: F
Question
Figure shows three forces applied to a trunk that moves a trunk that rightward by 3.00m over a frictionless r. The force magnitudes are Fi-5.00N, F2-9.00N, and Fs 3.00N, an .o0 3.06 uring the displacement, what is the work done on the trunk by the force F1? (i)During the displacement, what is the work done on the trunk by the forceF2? (iijburing the displacement, what is the work done on the trunk by the force F3? iv)During the displacement, what is the work done on the trunk by the gravitational force? (v) During the displacement, what is the work done on the trunk by the normal force? (vi)During the displacement, what is the net work done on the trunk by the three forces?Explanation / Answer
(a) Work done by First Force W1 = F.s.cos? = 5.3.cos180° = -15 Joule
(b) Work done by First Force W2= F.s.cos? = 9.3.cos60° = 13.5 Joule
(c) Work done by First Force W3= F.s.cos? = 3.3.cos270° = 0 Joule
(d) Grativational Force direction will be downward like F3 direction.
Grativational Force = mg
Work done by Grativational Force WGrav= FGrav.s.cos? = mg.3.cos270° = 0 Joule
(e) Normal Force will be in the opposite direction of Gravitational Force and have the same magnitude like Gravitational Force . Hence angle between Normal Force and displacement will be 90°.
Normal Force = mg
Work done by Normal Force Wnormal= Fnormal.s.cos? = mg.3.cos90° = 0 Joule
(f) Net work done by three forces =
Work done by First Force (W1)+Work done by First Force ( W2 )+ Work done by First Force (W3)
= -15 + 13.5 Joule = -1.5 Joule
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