Question

1. a box with an acceleration of 3m/s/s is being pushed by a force of 15n. what is its mass?
2. find the force required to push a box of 5kg for it to accelerate at 2m/s/s.

Explanation:

Step1: Identify the formula

We use Newton's second - law $F = ma$, where $F$ is force, $m$ is mass and $a$ is acceleration. We can re - arrange it to solve for the unknown variable.

Step2: Solve for mass in question 2

Given $F = 15N$ and $a=3m/s^{2}$, from $F = ma$, we can solve for $m$ by $m=\frac{F}{a}$. Substituting the values, we get $m=\frac{15N}{3m/s^{2}} = 5kg$.

Step3: Solve for force in question 3

Given $m = 5kg$ and $a = 2m/s^{2}$, using $F=ma$, we substitute the values: $F=(5kg)\times(2m/s^{2})=10N$.

Answer:

1. $5kg$
2. $10N$