Workers do 8000 j of work on a 2000-n crate to push it up a ramp. if the ramp is 2 m high, what is the efficiency of the ramp?

50%

Explanation:

Efficiency = work out / work in

e = Fd / W

e = (2000 N) (2 m) / (8000 J)

e = 0.5

50% efficiency

Explanation:

The efficiency is calculated with the following formula:

this can also be:

which is more intuitive for the present problem.

the work required, using the definition of work as where is force in newtons, and is distance in meters.

in this case , and , so the work required is:

And the work done according to the problem is:

Thus, the efficiency is:

And since %

⇒the answer is that the efficiency of the ramp is 50%

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