Answer:
Power, P = 22 W
Explanation:
It is given that,
Force acting on the object, [tex]F=5i-2j+8k[/tex]
Velocity of the object, [tex]v=-2i+4k[/tex]
To Find,
The rate at which the force does work on the object
Solve,
The rate at which the force does work on the object is called its power. Its formula is given by :
[tex]P=\dfrac{W}{t}[/tex]
[tex]P=\dfrac{F.d}{t}[/tex]
[tex]P=F\times v[/tex]
[tex]P=(5i-2j+8k)\times (-2i+4k)[/tex]
[tex]P=-10+0+32=22\ W[/tex]
So, the force work on the object at the rate of 22 watts