| Guide to Solving Work Problems Here are some important things
to do in solving work problems.
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The angle between a force on an object and
the displacement of the object is needed to calculate the work done by the
force. In order not to lose sight of that fact and
inadvertently ignore the angle, always draw a force-displacement vector
diagram (F-d diagram for short) for each force that acts on the
object. In these diagrams, specify the angle between the force and
the displacement. You can see how this is done in Example 7-3 on page 185
(p.179 in 2nd ed).
There is an F-d diagram for each of the forces N, mg,
and Fair that act on the car.
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In calculating work, start
with the definition of work given in equation 7-3 on page 182 (p. 176 of
2nd ed.) Never start with W = Fd.
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Always subscript the work
symbol, W, with the name or initial of the force that is doing the work.
Examples: WN, WT, Wmg, Wnet.
The bare symbol W must never appear in your solutions.
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Work isn't a vector but it
isn't a magnitude either. Work can be positive or negative.
It's negative if the angle between force and displacement is obtuse.
A check to apply to any calculation of work is to examine whether the sign
is correct.
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If calculating the work done
by a force requires that you determine the force first, then a net force
problem is required. It's frequently the case that you need to draw
a force diagram and solve net force equations in order to calculate work.
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