Question

the power of machine
in 2 kilo watt. Calculate the. work done in 5 min by it .
numericals work and power ​

Answer 1

Answer:

the power of machine

in 2 kilo watt. Calculate the. work done in 5 min by it .

numericals work and power

Answer 2

Answer:

Work done by the machine is 600 kJ.

Explanation:

Given:

• Power = 2 kW
• Time = 5 minutes

To find:

• We need to find the work done by the machine.

Solution:

We can observe that, power is in the kilowatt unit and we need to convert it into watt.

$\large{\underline{\rm{Converting\:Power\:in\:watt:}}}$

$\bf{\longmapsto 1kW = 1000w}$

$\bf{\longmapsto 2kW = 2000w}$

We also want to convert the time taken from minutes to seconds.

$\large{\underline{\rm{Converting\:Time\:in\:seconds:}}}$

$\bf{\longmapsto 1\:minute = 60\:seconds}$

$\bf{\longmapsto 5\:minutes = 60 \times 5 \:seconds}$

$\bf{\longmapsto 5\:minutes = 300 \:seconds}$

Let us see the relation between Power, Work and Time taken. We know that power is defined as rate of doing work. That means

$\boxed{\bf{\bigstar \: Power = \dfrac{Work}{Time}}}$

$\boxed{\bf{\bigstar \: Work = Power \times Time}}$

On applying the formula, we get:

$\bf{\longmapsto Work = Power \times Time}$

$\bf{\longmapsto Work = 2000 \times 300}$

$\bf{\longmapsto Work = 2000 \times 300}$

$\bf{\longmapsto Work = 600000J}$

$\bf{\longmapsto Work = 600kJ}$

Therefore, the work done by the machine is 600 kJ.