Aforce f~ = fx ˆı + fy ˆ acts on a particle that
undergoes a displacement of ~s = sx ˆı + sy ˆ
where fx = 8 n, fy = −1 n, sx = 6 m, and
sy = 2 m.
find the work done by the force on the
particle.
answer in units of j.

W = 46 J

Explanation:

We need to find the angle between the two vectors Force vector and displacement vector.

First we will find the angle α of the force vector

Then we find the angle β of the displacement vector

With these two angles we can find the angle between the two vectors

∅ = α + β = 25.56 deg

The definition of work is given by the expression

The absolute value of F will be:

The absolute value of d will be:

Now we have:

the part of the wave he is travelling on is the crest