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Physics Examples

ρ = \frac{m}{V}

$ρ = \frac{m}{V}$

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

Step 1

Solve for

m

$m$ .

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Step 1.1

Rewrite the equation as

\frac{m}{V} = ρ

$\frac{m}{V} = ρ$ .

\frac{m}{V} = ρ

$\frac{m}{V} = ρ$

Step 1.2

Multiply both sides by

V

$V$ .

\frac{m}{V} V = ρ 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

$V$ .

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