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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:

[tex]\[ F = ma \][/tex]

where:
- [tex]\( F \)[/tex] is the force applied (200 N),
- [tex]\( m \)[/tex] is the mass of the crate (what we're trying to find),
- [tex]\( a \)[/tex] is the acceleration (8 m/s²).

We need to solve for [tex]\( m \)[/tex]. To do that, we can rearrange the formula:

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

Now, we substitute the given values into the formula:

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

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

So, the mass of the crate is 25 kg.

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