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

Respuesta :

Answer:

[tex]P=-60W[/tex]

Explanation:

From the question we are told that

Force of power [tex]F=8Ni+-4Nj[/tex]

Velocity of power [tex]V=-7m/si+1m/sj[/tex]

Generally the equation for power is mathematically represented as

[tex]Power=Force *Velocity[/tex]

[tex]P=F *V[/tex]

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

[tex]P=[/tex] [tex]\begin{vmatrix}8 & -4\end{vmatrix} .[/tex][tex]\begin{vmatrix}-7 & 1\end{vmatrix}[/tex]  [tex]=-56-4[/tex]

[tex]P=-60W[/tex]

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