High School

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------------------------------------------------ What is the mass of a crate if a force of [tex]200 \, \text{N}[/tex] 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 use Newton's second law:

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

We are given that the force is [tex]$F = 200 \, \text{N}$[/tex] and the acceleration is [tex]$a = 8 \, \text{m/s}^2$[/tex]. The mass [tex]$m$[/tex] can be found by rearranging the formula:

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

Substitute the given values into the equation:

[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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