Question

Define power. Prove that P= F vector × V vector , where the symbols have their usual meanings.

Answer 1

$P=F\times v$ is proved as follows :

Explanation:

Power is defined as the work done by an object per unit time. Its formula is given by :

$P=\dfrac{W}{t}$

Here,

W is the work done

t is the time

Work done, $W=F\times d$

$P=\dfrac{F\times d}{t}$

Since, velocity of an object is, $v=\dfrac{d}{t}$

$P=F\times v$

So, the power of an object is equal to the product of force and velocity.

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Answer 2

P = F x v is proved as follows:

Explanation:

Power is defined as the work done by an object per unit time. Its formula is given by :

P = W/T

Here,

W is the work done

t is the time

Work done, W = F x d

P = F x d / t

Since, velocity of an object is, v = d/t

P=F x v