Question

pls derive the relation between power and velocity by ease

Answer 1

Hola User_______________

Here is Your Answer....!!!
________________________

Actually welcome to the concept of the Work , Power And Energy .....

Basically we know that .....

Power = Work done ÷ time ......

now we that .... Work = Force x displacement. ....

Since here The force is constant ......

there fore. ...... differentiate the displacement with respect to time we get. .,,


Power = Force × ds/dt

since ...ds/dt = velocity .....

there fore ...e.

Power = Force x Velocity....

Answer 2

power = work / time

d(power) = d(work) / d(time)
[add integration on both sides]

d(power) = d ( force vector . displacement vector ) / d(time)

power = force vector . d (displacement vector)
/ d(time)

[ power and force vector are constant & d(time) is divided only for d (displacement) ]

power = force vector . velocity vector

[ d (displacement) / d (time) = velocity vector ]

here only dot product is present not cross product