Question

an engine supplies a 25000J energy in one minute. calculate the power of the engine in kilowatt​

Answer 1

Answer:

Given :-

• An engine supplies a 25000 J energy in one minute.

To Find :-

• What is the power of the engine in Kilowatt.

Formula Used :-

$\bigstar$ Power Formula :

$\mapsto \sf\boxed{\bold{\pink{Power =\: \dfrac{Energy}{Time}}}}$

Solution :-

First, we have to convert time minutes into seconds :

$\implies \sf Time =\: 1\: minutes$

$\implies \sf\bold{\purple{Time =\: 60\: seconds}}$

Now, we have to find the power :

Given :

• Energy = 25000 J
• Time = 60 seconds

According to the question by using the formula we get,

$\leadsto \sf Power =\: \dfrac{2500\cancel{0}}{6\cancel{0}}$

$\leadsto \sf Power =\: \dfrac{2500}{6}\: Watts$

Now, we have to convert the power Watts to Kilowatts :

$\dashrightarrow \sf Power =\: \dfrac{2500}{6}\: W$

$\dashrightarrow \sf Power =\: \dfrac{2500}{6 \times 1000}\: kWh$

$\dashrightarrow \sf Power =\: \dfrac{25\cancel{00}}{60\cancel{00}}\: kWh$

$\dashrightarrow \sf Power =\: \dfrac{25}{60}\: kWh$

$\dashrightarrow \sf\bold{\red{Power =\: 0.417\: kWh}}$

$\therefore$ The power of the engine in kilowatt is 0.417 kWh.