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QuestionFind the distance over which a force of 200 N does 800 J of work. Options: a. 40 m40 \mathrm{~m} b. 20 m20 \mathrm{~m} c. 4 m4 \mathrm{~m} d. 2 m2 \mathrm{~m}

Studdy Solution

STEP 1

Assumptions1. The work done is800 joules. The force applied is200 newtons3. The work done is equal to the product of the force and the distance over which the force is applied

STEP 2

We need to find the distance over which the force was applied. We can do this by using the formula for work done, which is the product of the force and the distance.
Work=ForcetimesDistanceWork = Force \\times Distance

STEP 3

We can rearrange the formula to solve for distance.
Distance=Work/ForceDistance = Work / Force

STEP 4

Now, plug in the given values for the work done and the force to calculate the distance.
Distance=800 joules/200 newtonsDistance =800\, joules /200\, newtons

STEP 5

Calculate the distance over which the force was applied.
Distance=800 joules/200 newtons=4 metersDistance =800\, joules /200\, newtons =4\, metersThe force was applied over a distance of4 meters.

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