If body is displaced by 20 at an angle of 60 degree by applying a force of 40 and the work done will be
Answers
Answer:
400J
Explanation:
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 (10N), the length of the displacement (5m) and the angle between the displacement and the force(60°).
W=Fs∗cosθ=40N∗20m∗cos60=400Nm=400J.