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Physics Examples

F = m a

$F = m a$

$F$ $F$	$=$ $=$	$?$ $?$
$m$ $m$	$=$ $=$	$15 kg$ $15 kg$
$a$ $a$	$=$ $=$	$1.33 \frac{m}{s^{2}}$ $1.33 \frac{m}{s^{2}}$

Step 1

Substitute the given values into

$F = m a$ .

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Step 1.1

Substitute

$15 kg$ for

$m$ .

$F = 15 kg a$

Step 1.2

Substitute

$1.33 \frac{m}{s^{2}}$ for

$a$ .

$F = 15 kg (1.33 \frac{m}{s^{2}})$

$F = 15.0 kg (1.33 \frac{m}{s^{2}})$

Step 2

Simplify the right side.

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Step 2.1

Combine fractions.

$F = 19.950 kg \frac{m}{s^{2}}$

Step 2.2

Combine

$19.950 kg$ and

$\frac{m}{s^{2}}$ .

$F = 19.950 \frac{kg m}{s^{2}}$

Step 2.3

Rewrite

$\frac{kg m}{s^{2}}$ as

$N$ .

$F = 19.950 N$

$F = 19.950 N$

Step 3

Round to

$3$ significant figures.

$F = 20.0 N$

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