Question

An engine does a work of 600 J in 1 minute. The power of engine in kilowatts is :

(a) 0.06 kW
(b) 0.03 kW
(c) 0.01 kW
(d) 0.05 kW

ANSWER FROM THE OPTIONS ONLY

Answer 1

Given :-

Energy of the engine = 600 J

Time taken for the engine = 1 min

To Find :-

The power of engine in kilowatts.

Analysis :-

Here we are given with the energy and time taken by the engine.

In order to find the power of the engine substitute the values such that the power is equal to energy divided by time taken.

Since the question wants us to answer in kilowatts, convert the answer we get accordingly.

Solution :-

We know that,

• t = Time
• p = Power
• e = Energy

Using the formula,

$\underline{\boxed{ \sf Power \ required=\dfrac{Total \ energy}{Time \ taken} }}$

Given that,

Energy (e) = 600 J

Time (t) = 1 min = 60 sec

Substituting their values,

⇒ p = 600/60

⇒ p = 10 watts

By converting,

⇒ 1 watts = 1/1000 kilowatts

⇒ 10 watts = 10/1000 kilowatts

⇒ 10 watts = 1/100 kilowatts

⇒ p = 0.01 kW

Therefore, the power of engine in kilowatts is 0.01 kW.

Answer 2

Answer:

Given :-

• An engine does a work of 600 J in 1 minutes.

To Find :-

• What is the power of engine in kilowatts.

Formula Used :-

$\boxed{\bold{\large{Power\: =\: \dfrac{Energy}{Time}}}}$

Solution :-

Given :-

• Energy = 600 J
• Time = 1 minutes = 60 second

According to the question by using the formula we get,

↣ Power = $\sf\dfrac{\cancel{600}}{\cancel{60}}$

↣ Power = 10 Watts

Now, we have to convert it into kilowatts :

We know that,

➺ 1 Kilowatt = 1000 Watt

↣ 1 Watt = $\dfrac{1}{1000}$ Kilowatts

↣ 10 Watts = $\sf\dfrac{1}{\cancel{1000}} \times {\cancel{10}}$ Kilowatts

↣ 10 Watts = $\dfrac{1}{100}$ Kilowatts

↣ Power = $\dfrac{1}{100}$

➠ Power = 0.01 kW

$\therefore$ The power of engine in kilowatts is 0.01 kW . Correct options is option no (c) ${\green{\large{\checkmark}}}$