Question

Derived the relation between power and velocity (P V)

Answer 1

$\huge\boxed{\fcolorbox{red}{pink} {Answer:-}}$

The average power is given by the formula:

$\red\implies$ $\tt{Pav = \frac{∆w}{∆t}}$

If F is the force acting on body through displacement

∆d then work done will be ∆W is given by:

$\red\implies$ $\tt{Pav = \frac{F.∆d}{∆t}}$

$\red\implies$ $\tt{Pav = F \frac{∆d}{∆t}}$

But $\frac{∆d}{∆t}$= Vav = Average Velocity

Therefore: P = F.Vay

P=F.V

Extra Information:-

• Power is the dot product of force and velocity.
• It is a scalar quantity.
• The SI unit of power is watt which is defined as "One joule of work done in one second."

Hope it helps:)

Answer 2

Answer:

In the straightforward cases where a constant force moves an object at constant velocity, the power is just P = Fv. In a more general case where the velocity is not in the same direction as the force, then the scalar product of force and velocity must be used.