Question

kinetic
5. A machine does 1920 joule of work in 240 seconds. What is the power of
the machine?​

Answer 1

Given :-

Work done by the machine = 1920 J

Time taken by the machine = 240 sec

To Find :-

The power of  the machine.

Analysis :-

Here we are given with the work done and the time taken by the machine.

In order to find the power applied substitute the given values in the question such that power is equal to work done divided by the time taken and find the power of the machine accordingly.

Solution :-

We know that,

• p = Power
• w = Work done
• t = Time

Using the formula,

$\underline{\boxed{\sf Power=\dfrac{Work \ done}{Time \ taken} }}$

Given that,

Work done (w) = 1920 J

Time (t) = 240 sec

Substituting their values,

⇒ p = w/t

⇒ p = 1920/240

⇒ p = 8 W

Therefore, the power of the machine is 8 W.

Answer 2

Answer:

Given :-

• A machine does 1920 J of work in 240 seconds.

To Find :-

• What is the power of the machine.

Formula Used :-

To find power we know that,

$\sf\boxed{\bold{\large{P\: =\: \dfrac{w}{t}}}}$

where,

• P = Power
• w = Work done
• t = Time taken

Solution :-

Given :

• Work done = 1920 J
• Time taken = 240 seconds

According to the question by using the formula we get

⇒ $\sf P\: =\: \dfrac{1920}{240}$

⇒ $\sf P\: =\: \dfrac{\cancel{1920}}{\cancel{240}}$

⇒ $\sf P\: =\: \dfrac{192}{24}$

⇒ $\sf P\: =\: \dfrac{\cancel{192}}{\cancel{24}}$

➠ P = 8 W

$\therefore$ The power of the machine is 8 W .