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Physics Examples

$ρ = \frac{m}{V}$

$ρ$	$=$	$5.8 \frac{g}{mL}$
$m$	$=$	$?$
$V$	$=$	$8.5 mL$

Step 1

Solve for $m$ .

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Step 1.1

Rewrite the equation as $\frac{m}{V} = ρ$ .

$\frac{m}{V} = ρ$

Step 1.2

Multiply both sides by $V$ .

$\frac{m}{V} V = ρ V$

Step 1.3

Simplify the left side.

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Step 1.3.1

Cancel the common factor of $V$ .

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Step 1.3.1.1

Cancel the common factor.

$\frac{m}{V} V = ρ V$

Step 1.3.1.2

Rewrite the expression.

$m = ρ V$

$m = ρ V$

$m = ρ V$

$m = ρ V$

Step 2

Substitute the given values into $m = ρ V$ .

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Step 2.1

Substitute $5.8 \frac{g}{mL}$ for $ρ$ .

$m = 5.8 \frac{g}{mL} V$

Step 2.2

Substitute $8.5 mL$ for $V$ .

$m = 5.8 \frac{g}{mL} (8.5 mL)$

$m = 5.80 \frac{g}{mL} (8.50 mL)$

Step 3

Simplify the right side.

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Step 3.1

Cross cancel units.

$m = 5.80 \frac{g}{mL} \frac{8.50 mL}{1}$

Step 3.2

Simplify the expression.

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Step 3.2.1

Remove the canceled units.

$m = 5.80 \frac{g}{1} \frac{8.50}{1}$

Step 3.2.2

Combine fractions.

$m = 49.3000 g$

$m = 49.3000 g$

$m = 49.3000 g$

Step 4

Round to $3$ significant figures.

$m = 49.3 g$

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