Question

A machine performs 1820 J of work in 20 seconds. The power of the machine is

a 90 W
b 91 W
c 92 W
d 93 W
​

Answer 1

Answer:-

$\red{\bigstar}$ Power $\large\leadsto\boxed{\tt\purple{91 \: W}}$

$\red{\bigstar}$$\large\boxed{\tt\purple{Option. \rightarrow B}}$

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• Given:-

• Work performed by machine = 1820 J

• Time taken by machine = 20 sec.

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• To Find:-

• Power of the machine

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• Solution:-

We know,

$\pink{\bigstar}$ $\large\underline{\boxed{\bf\green{P = \dfrac{W}{T}}}}$

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where,

• P = Power

• W = Work

• T = Time

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• Substituting the values in Formula:-

➪ $\sf P = \dfrac{1820}{20}$

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➪ $\sf P = \dfrac{182}{2}$

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★ $\bf\pink{P = 91 \: W}$

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Therefore, the Power of the machine is 91 W.

Hence, Option. B is the correct choice.

Answer 2

Answer:

Given :-

• A machine performs 1820 J of work in 20 seconds.

To Find :-

• What is the power of the machine.

Formula Used :-

To find power we know that,

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

Solution :-

Given :

• Work = 1820 J
• Time = 20 seconds

According to the question by using the formula we get,

⇒ Power = $\dfrac{1820}{20}$

⇒ Power = $\dfrac{\cancel{1820}}{\cancel{20}}$

➠ Power = 91 W

$\therefore$ The power of the machine is 91 W . Correct options is option no (b) $\large{\green{\checkmark}}$ .

✪ Extra Information ✪

➣ Power :-

• Power can be defined as the rate at which work is done.
• The unit of power is Watt (W).

➣ Work :-

• Work is said to be done when a force applied to an object moves that object.
• The SI unit of work is Joule (J).

➢ Time :-

• Time is defined as the dimension based on which the evolution of any system takes place.
• The SI unit of time is Second (s).