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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

Answer :

To find the mass of the crate using the formula [tex]\( F = ma \)[/tex], where [tex]\( F \)[/tex] is the force applied, [tex]\( m \)[/tex] is the mass, and [tex]\( a \)[/tex] is the acceleration, follow these steps:

1. Identify the given values:
- Force ([tex]\( F \)[/tex]) = 200 N (newtons)
- Acceleration ([tex]\( a \)[/tex]) = 8 m/s² (meters per second squared)

2. Rearrange the formula to solve for mass ([tex]\( m \)[/tex]):
[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. Calculate the mass ([tex]\( m \)[/tex]):
[tex]\[
m = 25 \, \text{kg}
\][/tex]

So, the mass of the crate is 25 kg. The correct answer is 25 kg.

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