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].
[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].
