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------------------------------------------------ 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

Certainly! Let's find out the mass of the crate using the relationship between force, mass, and acceleration.

We are given:
- Force ([tex]$ F $[/tex]) = 200 Newtons
- Acceleration ([tex]$ a $[/tex]) = 8 m/s²

We need to find the mass ([tex]$ m $[/tex]) of the crate. We can use the formula:

[tex]\[
F = m \times a
\][/tex]

To find the mass, we rearrange the formula to solve for [tex]$ m $[/tex]:

[tex]\[
m = \frac{F}{a}
\][/tex]

Now, substitute the given values into the equation:

[tex]\[
m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2}
\][/tex]

When you divide 200 by 8, you get:

[tex]\[
m = 25 \, \text{kg}
\][/tex]

Therefore, the mass of the crate is [tex]$ 25 \, \text{kg} $[/tex].