Question

A motor boat is going in a river with velocity \vec{V} = 4\hat{i}-2\hat{j} + \hat{k}\,m{{s}^{-1}} V =4 i ^ −2 j ^ ​ + k ^ ms −1 . If the resisting force due to stream is, \vec{F} = \left( 5\hat{i}-10\hat{j} + 6\hat{k} \right)N F =(5 i ^ −10 j ^ ​ +6 k ^ )N then the power of the motor boat is

Answer 1

$\bf{\underline{\red{Correct\:Question:-}}}$

✓✓A motor boat is going in a river with a velocity V=( 4i + 2j + 1k )m/s . If the resisting force due to stream is F = ( 5i - 10j + 6k ) N, then the power of the motor boat is________

$\bf{\underline{\blue{Given:-}}}$

• $\bf\:F = 5i - 10j + 6k$

• $\bf\: v = 4i + 2j + 1k$

$\bf{\underline{\green{To\:Find:-}}}$

⠀⠀⠀⠀ ❍ $\bf\:Power\:of\:the\:moter\:boat$

$\bf{\underline{\red{Solution:-}}}$

We know that,

$\bf\implies\:Power=Force\times\: Velocity$

$\bf\implies\:P = ( 5i - 10j + 6k)\times\:( 4i + 2j + 1k)$

$\bf\implies\:P = 20 - 20 + 6$

$\bf\implies\blue{{p=6\:joules}}$

Thus,Power of moter boat is 6 joules.