Question

Question #d10c6

Answer 1

10J

Explanation:

We know that work (W) is a scalar quantity and it is the dot product of two vectors -

• (1)Applied Force (`vecF`)on the object and
• (2) Displacement(`vecS`)

Here
Force `vecF=3hati+hatj-hatk`
and Displacement `vecS=2hati+6hatj+2hatk`

So work done
`W=vecF*vecV=(3hati+hatj-hatk)*(2hati+6hatj+2hatk)J`
`=(3xx2+1xx6+(-1)xx2)J=(6+6-2)J=10J`