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Physics Examples

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

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

Step 1

Solve for $W$ .

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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.

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Step 1.3.1

Cancel the common factor of $t$ .

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Step 1.3.1.1

Cancel the common factor.

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

Step 1.3.1.2

Rewrite the expression.

$W = P t$

$W = P t$

$W = P t$

$W = P t$

Step 2

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

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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.

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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.

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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 $10000$ .

$W = 24000.0000 J$

$W = 24000.0000 J$

$W = 24000.0000 J$

Step 4

Round to $3$ significant figures.

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

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$