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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, we can use the formula for force, which is [tex]\( F = ma \)[/tex], where [tex]\( F \)[/tex] is the force, [tex]\( m \)[/tex] is the mass, and [tex]\( a \)[/tex] is the acceleration.

Let's break down the problem step-by-step:

1. Identify the given values:
- Force ([tex]\( F \)[/tex]): 200 N (Newtons)
- Acceleration ([tex]\( a \)[/tex]): 8 m/s²

2. Use the formula to find the mass ([tex]\( m \)[/tex]):
- The formula to calculate mass from force and acceleration is [tex]\( m = \frac{F}{a} \)[/tex].

3. Plug in the known values:
- Substitute the force and acceleration into the equation:
[tex]\[
m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2}
\][/tex]

4. Calculate:
- Divide 200 by 8 to find the mass:
[tex]\[
m = 25 \, \text{kg}
\][/tex]

Therefore, the mass of the crate is 25 kg.

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Rewritten by : Barada