Question

Rajesh exerts a force of 150 n in pulling a cart at constant speed 15m/s. Find power

Answer 1

Power=force*velocity.

=150*15;

=2250 W

Answer 2

GiveN :-

$\to\textsf{ A force of 150 N is applied.}\\\to\textsf{ Force is applied at a speed of 15m/s.}$

To FinD :-

$\to\textsf{ The Power exrerted in pulling the cart .}$

SolutioN :-

We know that Power is defined as the rate of doing work , that is $\sf P =\dfrac{Work}{Time}$ .Also we know that Work is the dot product of Force and Displacement , that is $\sf Work = F.s$ So we have ,

$\sf:\implies \pink{Power = \dfrac{Work}{Time}}\\\\\sf:\implies Power = \dfrac{Force \times displacement}{Time}\\\\\sf:\implies P =\dfrac{ F \times s }{t}\\\\\sf:\implies P = F \times \dfrac{s}{t}\\\\\sf:\implies P = F \times v \qquad\qquad \bigg\lgroup \red{\bf Speed = \dfrac{Distance}{Time}}\bigg\rgroup \\\\\sf:\implies P = 150 N \times 15m/s \\\\\sf:\implies\underset{\blue{\sf Required\ Power }}{\underbrace{\boxed{\pink{\frak{ Power = 2250 Watts }}}}}$