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

$\frac{m}{V} = ρ$

Multiply both sides by $V$ .

$\frac{m}{V} V = ρ V$

Simplify the left side.

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Cancel the common factor of $V$ .

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Cancel the common factor.

$\frac{m}{V} V = ρ V$

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

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

Substitute $8.5 mL$ for $V$ .

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

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

Step 3

Simplify the right side.

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Cross cancel units.

$m = 5.8 \frac{g}{mL} \frac{8.5 mL}{1}$

Simplify the expression.

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Remove the canceled units.

$m = 5.8 \frac{g}{1} \frac{8.5}{1}$

Combine fractions.

$m = 49.3 g$

$m = 49.3 g$

$m = 49.3 g$

Step 4

Round to $3$ significant figures.

$m = 49.3 g$

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