In the image shown above, two forces are acting in the horizontal direction on a
ID: 2116235 • Letter: I
Question
In the image shown above, two forces are acting in the horizontal direction on a 3.1 kg box.
F1 is 74 N in the +x direction.
F2 is 28 N in the -x direction.
The box is initially at a position of xi = 0.0 m.
The final location of the box is at xf = 3.7 m.
The initial velocity of the box is 0.0 m/s.
What is the amount of net work done on the box as it moves from xi to xf?
2)A 1180 N crate rests on the floor. How much work is required to move it at constant speed 3.10 m along the floor against a friction force of 206 N?
How much work is required to move it at constant speed 3.10 m vertically?
3) How much work did the movers do (horizontally) pushing a 153-kg crate 13.1 m across a rough floor without acceleration, if the effective coefficient of friction was 0.440?
4) An 86.9-g arrow is fired from a bow whose string exerts an average force of 110 N on the arrow over a distance of 78.4 cm. What is the speed of the arrow as it leaves the bow?
Explanation / Answer
2 (i)W = F*s
W= 206*3.1 = 638.6 J
(ii) W= mgh
W=1180*3.1
=> W= 3658 J
3 (mu)*mgs
=8642.54 J
4 W= delta (KE)
=> 110*0.784= 0.5*0.0869 * v^2
=>v=44.55 m/s
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