Question

if 100 Newton force is applied on a body and body displace up to 40 m at angle 60 degre find work done by the force?​

Answer 1

Answer:

The equation for work defined by physics is as following:

W=Fs∗cosθ

(W) is the work done by the force (F) that is causing the displacement (s) on the object. (θ) is the angle between the force and displacement. Work is measured in the unit of “newton-meter”, which corresponds to “joule”.

As the equation explain, work is defined as the force times the displacement of an object, W=Fs. However, this is only when the displacement is in the same direction as the force (which is… never). When the displacement is of by an angle compared to the force, we have to incorporate this into the equation. We therefore adds the cosine value of the angle, W=Fs∗cosθ. The reason we can simplify the equation is because the cosine value of 0 = 1.

Now as we have the explained equation, we can put in our values. We know the magnitude of the force (100N), the length of the displacement (40m) and the angle between the displacement and the force(60°).

W=Fs∗cosθ=100N∗40m∗cos60=200Nm=200J.