Chapter 3, Problem 4TS

Consider a mass of $1\text{kg}$ accelerated $1\text{m}/{\text{s}}^{\text{2}}$ by a force of $1\text{N}$. Show that the acceleration would be the same for $2\text{kg}$ acted on by a force of $2\text{N}$.

To determine

The acceleration with mass $2\text{kg}$ and a force $2\text{N}$.

Answer to Problem 4TS

The acceleration with mass $2\text{kg}$ and a force $2\text{N}$ are shown as same.

Explanation of Solution

Given info: The mass is $2\text{kg}$ and force is $2\text{N}$.

Write the expression for the force from Newton’s law of motion.

$F=ma$

Here,

$m$ is the mass of the block

$a$ is the acceleration.

Substitute $2\text{kg}\cdot \text{m}/{\text{s}}^{\text{2}}$ for $F$ and $2\text{kg}$ for $m$ in the above expression to get $a$.

$\begin{array}{c}2\text{kg}\cdot \text{m}/{\text{s}}^{\text{2}}=2\text{kg}\times a\\ a=1\text{m}/{\text{s}}^{\text{2}}\end{array}$

Conclusion:

Therefore, the acceleration with mass $2\text{kg}$ and a force $2\text{N}$ are shown as same.