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:
[tex]W = F*d*cos \alpha[/tex]
Solving:
[tex]W = F*d*cos \alpha[/tex]
[tex]200 = 50 * d * cos\:0\º[/tex]
[tex]200 = 50 * d * 1[/tex]
[tex]200 = 50\:d[/tex]
[tex]50\:d = 200[/tex]
[tex]d = \dfrac{200}{50}[/tex]
[tex]\boxed{\boxed{d = 4\:m}}\end{array}}\qquad\checkmark[/tex]
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I Hope this helps, greetings ... Dexteright02! =)
