Verified Answer :

By using the formula for work, we can derive the force

W = Fd
F= \(\frac{W}{d} = \frac{200}{50} = 4 N\)

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Hello!

If you do 200 joules of work using a force of 50 newtons, over what distance was the force applied ?

We have the following data:

Suppose we treat a constant force (cos 0º = 1)

W (work) = 200 Joules (1N x m)

F (Strength) = 50 N

d (distance) =? (in meters)

We have the following formula of the work of a force:

\(W = F*d*cos \alpha\)

Solving:

\(W = F*d*cos \alpha\)

\(200 = 50 * d * cos\:0\º\)

\(200 = 50 * d * 1\)

\(200 = 50\:d\)

\(50\:d = 200\)

\(d = \dfrac{200}{50}\)

\(\boxed{\boxed{d = 4\:m}}\end{array}}\qquad\checkmark\)

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I Hope this helps, greetings ... Dexteright02! =)