While rearranging a dorm room, a student does 292 J of work in moving a desk 3.7 m. What was the magnitude of the applied horizontal force?

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To find the magnitude of the applied horizontal force, we can use the equation W = Fd, where W is the work done, F is the applied force, and d is the distance moved. Rearranging the equation, we have F = W / d.

Given:
Work done, W = 292 J
Distance moved, d = 3.7 m

Using the equation F = W / d, we can calculate the magnitude of the applied horizontal force:

F = 292 J / 3.7 m
F ≈ 78.92 N

Therefore, the magnitude of the applied horizontal force is approximately 78.92 N.

To find the magnitude of the applied horizontal force, we can use the equation:

Work = Force * Distance

In this case, the work done is 292 J and the distance moved is 3.7 m. We can rearrange the equation to solve for force:

Force = Work / Distance

Plugging in the known values:

Force = 292 J / 3.7 m

Now, we can calculate the force:

Force = 78.918 J/m

Therefore, the magnitude of the applied horizontal force is approximately 78.918 J/m.