Question

A pump raises water by spending 4x106 J of energy in 100 seconds.

Find the power of the pump​

Answer 1

$\LARGE{\underline{\sf{\pink{Required\: Answer:}}}}$

Here we have to find power of the pump whose total energy spent and time is given.

Provided:

• Total energy spent = 4 × 10⁶ J
• Time taken = 100 s

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Power is the rate of work done by any object or being. Here, rate means obviously work divided by time. That means:

• Power = Work or Energy spent / Time

Plugging the given values:

➝ Power = Energy spent / Time taken

➝ Power of the pump = 4 × 10⁶ J / 10² s

➝ Power of the pump = 4 × 10⁴ J/s

The unit of Power is Watt which is same as Joules/sec. Hence we can write our answer as 4 × 10⁴ watt (Ans)

Answer 2

Answer:

$\large\underline{\underline{\mathfrak{\color{orange}{Correct \: Question :-}}}}$

• A pump raises water by spending 4x10^6J of energy in 100 seconds. Find the power of the pump

$\large\underline{\underline{\mathfrak{\color{lime}{Given :-}}}}$

• Energy spent = w = 4 × 10^6 J

• Time = 100 sec

$\large\underline{\underline{\mathfrak{\color{blue}{To \: Find :-}}}}$

• Find the power of the pump

$\large\underline{\underline{\mathfrak{\color{red}{Solution :-}}}}$

We have formula

$\boxed{ \mathfrak{ \green{Power = \frac{energy}{time} }}}$

putting all values

$\sf \to \: P = \frac{4 \times 10^6}{10^2} \\ \\\sf \to \: P = \frac{4 \times \cancel{10^6}}{ \cancel{10^2}} \\ \\ \sf \to \pink{p = 4 \times {10}^{4} w}$

$\mathfrak{ \red{ \underline{hence \: the \:power \: of \: the \: pump \: is \: 4 \times {10}^{4} w}}}$

$\large\underline{\underline{\mathfrak{\color{purple}{more\: information :-}}}}$

Power:

• the amount of energy transferred per unit or the amount of work done is called power. the unit of power is joules/second (or) watt.