Find the Work

$P = \frac{W}{t}$

$P$	$=$	$2 \cdot 10^{3} W$
$W$	$=$	$?$
$t$	$=$	$12 s$

Step 1

Solve for $W$ .

Tap for more steps...

Step 1.1

Rewrite the equation as $\frac{W}{t} = P$ .

$\frac{W}{t} = P$

Step 1.2

Multiply both sides by $t$ .

$\frac{W}{t} t = P t$

Step 1.3

Simplify the left side.

Tap for more steps...

Step 1.3.1

Cancel the common factor of $t$ .

Tap for more steps...

Step 1.3.1.1

Cancel the common factor.

$\frac{W}{t} t = P t$

Step 1.3.1.2

Rewrite the expression.

$W = P t$

Step 2

Substitute the given values into $W = P t$ .

Tap for more steps...

Step 2.1

Substitute $2 \cdot 10^{3} W$ for $P$ .

$W = 2 \cdot 10^{3} W t$

Step 2.2

Substitute $12 s$ for $t$ .

$W = 2 \cdot 10^{3} W (12 s)$

$W = 2.00 \cdot 10^{3} W (12.0 s)$

Step 3

Simplify the right side.

Tap for more steps...

Step 3.1

Multiply $12.0$ by $2.00$ .

$W = 24.000 \cdot 10^{3} W s$

Step 3.2

Move the decimal point in $24.000$ to the left by $1$ place and increase the power of $10^{3}$ by $1$ .

$W = 2.4000 \cdot 10^{4} (W s)$

Step 3.3

Rewrite $W s$ as $J$ .

$W = 2.4000 \cdot 10^{4} J$

Step 3.4

Convert $2.4000 \cdot 10^{4}$ to decimal.

Tap for more steps...

Step 3.4.1

Raise $10$ to the power of $4$ .

$W = 2.4000 \cdot 10000 J$

Step 3.4.2

Multiply $2.4000$ by $10000$ .

$W = 24000.0000 J$

Step 4

Round to $3$ significant figures.

$W = 2.40 \cdot 10^{4} J$

Enter YOUR Problem

How to Use Step-by-Step Examples

Read the worked problem

Each example starts from a real Physics problem and shows the rule or formula it relies on.

Follow every step

Work through the solution line by line. Underlined terms open a glossary definition.

Solve your own problem

Enter a similar problem in the Physics solver to get the answer with steps.

Why use Mathway?

Step-by-step solutions

See how every answer is worked out, not just the result.

Every major math subject

From basic math through calculus, statistics and chemistry.

Accurate results

Answers you can check your homework against.

Trusted by students

A reliable tool for homework and learning.

Find the Work

Dynamic Equilibrium

How to Use Step-by-Step Examples

Why use Mathway?

Explore More Physics Help