Question

Learning Goal: To be able to calculate work done by a constant force directed at different angles relative to displacement



If an object undergoes displacement while being acted upon by a force (or several forces), it is said that work is being done on the object. If the object is moving in a straight line and the displacement and the force are known, the work done by the force can be calculated as


W= F*s=/F/ /s/ cosθ


,



where W is the work done by force F on the object that undergoes displacement s directed at angle θ relative to F .



Note that depending on the value of cosθ, the work done can be positive, negative, or zero.

Answer 1

Answer:

Woke done, W = 4156.92 Joules

Explanation:

The work done by the force can be calculated as :

$W=F\times s$

$W=Fs\ cos\theta$

$\theta$ is the angle between force and the displacement

It is assumed to find the work done for the given parameters i.e.

Force, F = 30 N

Distance travelled, s = 160 m

Angle between force and displacement, $\theta=30$

Work done is given by :

$W=Fs\ cos\theta$

$W=30\times 160\ cos(30)$

W = 4156.92 Joules

So, the work done by the object is 4156.92 Joules. Hence, this is the required solution.