Question

Find the power of a force F~ = (8 N)ˆı + (−4 N) ˆ if the velocity ~v = (−7 m/s)ˆı + (1 m/s) ˆ. Answer in units of W

Answer 1

`P=-60W`

Step-by-step explanation:

From the question we are told that

Force of power
`F=8Ni+-4Nj`

Velocity of power
`V=-7m/si+1m/sj`

Generally the equation for power is mathematically represented as

`Power=Force *Velocity`

`P=F *V`

Generally the dot product of F and V is mathematically given as

`P=`
`\begin{vmatrix}8 & -4\end{vmatrix} .`
`\begin{vmatrix}-7 & 1\end{vmatrix}`
`=-56-4`

`P=-60W`