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------------------------------------------------ What is the mass of a crate if a force of 200 N causes it to accelerate at 8 m/s²?

(Formula: F = ma)

A. 25 kg
B. 192 kg
C. 208 kg
D. 16 kg

To determine the mass of the crate given a force of 200 N and an acceleration of 8 m/s², we can use Newton's second law of motion, which is expressed by the formula [tex]$ F = ma $[/tex].

Here's the step-by-step solution:

1. Identify the values given in the problem:
- Force ([tex]$ F $[/tex]) = 200 N (Newtons)
- Acceleration ([tex]$ a $[/tex]) = 8 [tex]$ \text{m/s}^2 $[/tex] (meters per second squared)

2. Rearrange the formula to solve for mass ([tex]$ m $[/tex]):
[tex]\[ F = ma \][/tex]
Dividing both sides of the equation by acceleration ([tex]$ a $[/tex]) to isolate mass ([tex]$ m $[/tex]), we get:
[tex]\[ m = \frac{F}{a} \][/tex]

3. Substitute the given values into the rearranged formula:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]

4. Perform the division:
[tex]\[ m = 25 \, \text{kg} \][/tex]

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

Among the given options:
[tex]\[ 25 \, \text{kg} \][/tex]
[tex]\[ 192 \, \text{kg} \][/tex]
[tex]\[ 208 \, \text{kg} \][/tex]
[tex]\[ 16 \, \text{kg} \][/tex]

The correct answer is [tex]$ 25 \, \text{kg} $[/tex].