Question

1. how much force is required to accelerate a 12 kg mass at 5 m/s²? given: work answer 6. given a force of 10 n and an acceleration of 5 m/s², what is the mass? given: work answer 7. how much force is required to accelerate a 5 kg mass at 20 m/s²? given: work answer

Explanation:

Step1: Recall Newton's second - law formula

$F = ma$, where $F$ is force, $m$ is mass and $a$ is acceleration.

Step2: Solve problem 5

Given $m = 12\ kg$ and $a=5\ m/s^{2}$. Substitute into the formula: $F=ma = 12\times5$.
$F = 60\ N$

Step3: Solve problem 6

Given $F = 10\ N$ and $a = 5\ m/s^{2}$. Rearrange the formula $F=ma$ to find $m$, so $m=\frac{F}{a}$.
$m=\frac{10}{5}=2\ kg$

Step4: Solve problem 7

Given $m = 5\ kg$ and $a = 20\ m/s^{2}$. Substitute into the formula $F=ma$: $F=5\times20$.
$F = 100\ N$

Answer:

1. $60\ N$
2. $2\ kg$
3. $100\ N$