High School

What is the mass of a crate if a force of 200 N causes it to accelerate at [tex]8 \, \text{m/s}^2[/tex]?



(Formula: [tex]F = ma[/tex])



A. 25 kg

B. 192 kg

C. 208 kg

D. 16 kg

Answer :

We are given that the force is $F = 200\,\text{N}$ and the acceleration is $a = 8\,\text{m/s}^2$. To find the mass ($m$) of the crate, we use Newton's second law of motion:

$$
F = m \cdot a
$$

We can rearrange this equation to solve for mass:

$$
m = \frac{F}{a}
$$

Substituting the given values:

$$
m = \frac{200\,\text{N}}{8\,\text{m/s}^2} = 25\,\text{kg}
$$

Thus, the mass of the crate is $25\,\text{kg}$.