Question

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

Answer 1

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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Answer 2

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! =)