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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 :

We are given the relation between force, mass, and acceleration:

[tex]$$
F = m \cdot a
$$[/tex]

To find the mass ([tex]$m$[/tex]), we can rearrange the formula:

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

Here, the force is [tex]$F = 200 \, \text{N}$[/tex] and the acceleration is [tex]$a = 8 \, \text{m/s}^2$[/tex]. Substituting these values, we have:

[tex]$$
m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} = 25 \, \text{kg}
$$[/tex]

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

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