Question

fill in the blank question
a box being pushed by a force results in an acceleration of 2 m/s². the force is then doubled, resulting in an acceleration of ______ m/s².

Explanation:

Step1: Recall Newton's second law

$F = ma$, where $F$ = force, $m$ = mass, $a$ = acceleration

Step2: Solve for initial mass

Rearrange formula: $m = \frac{F}{a}$. Substitute $a=2\ \text{m/s}^2$:
$m = \frac{F}{2}$

Step3: Analyze doubled force

New force $F' = 2F$. Use $F' = ma'$:
$2F = \frac{F}{2} \times a'$

Step4: Solve for new acceleration

Cancel $F$ from both sides, solve for $a'$:
$2 = \frac{1}{2} \times a' \implies a' = 2 \times 2 = 4$

Answer:

4