a. How far does a 100-newton force have to move to do 1,000 joules
of work?
b. An electric hoist does 500 joules of work lifting a crate 2 meters. How
much force does the hoist use?
c. An athlete does one push-up. In the process, she moves half of her body
weight, 250 newtons, a distance of 20 centimeters. This distance is the
distance her center of gravity moves when she fully extends her arms. How
much work did she do after one push-up?
d. You decide to push on a brick wall with all your might for 5 minutes. You
push so hard that you begin to sweat. However, the wall does not move. If
you end up pushing with a force of 500 newtons, how much work did you
do?

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mickymike92 mickymike92 · Answer 1 · 2022-04-12T11:26:19+02:00

Work done by a force is given as the product of force and the distance moved by the force.

Work done is the product of force and the distance moved by the the force.

Thus, distance required by the 100 N force is given as:

Distance = 1000/100 = 10 m

Distance to be moved is 10 m.

Force applied = work done/ distance

Force applied by the hoist = 500/2

Force applied by the hoist = 250 N

Distance moved in one push-up = 25 cm = 0.25 m

Work done by the athlete after one push-up = 250 × 0.25 m

Work done by the athlete = 62.5 J

Distance moved by the force = 0 m

Work done = 500 × 0 = 0 N

Therefore, for work to be done, force has to move a distance.

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