Answer :
We start with Newton's second law, which is given by
[tex]$$
F = m \cdot a,
$$[/tex]
where
[tex]\( F \)[/tex] is the force,
[tex]\( m \)[/tex] is the mass, and
[tex]\( a \)[/tex] is the acceleration.
Given that the force is [tex]\( 200 \, \text{N} \)[/tex] and the acceleration is [tex]\( 8 \, \text{m/s}^2 \)[/tex], we can solve for the mass [tex]\( m \)[/tex] by rearranging the equation:
[tex]$$
m = \frac{F}{a}.
$$[/tex]
Substituting the values:
[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]
where
[tex]\( F \)[/tex] is the force,
[tex]\( m \)[/tex] is the mass, and
[tex]\( a \)[/tex] is the acceleration.
Given that the force is [tex]\( 200 \, \text{N} \)[/tex] and the acceleration is [tex]\( 8 \, \text{m/s}^2 \)[/tex], we can solve for the mass [tex]\( m \)[/tex] by rearranging the equation:
[tex]$$
m = \frac{F}{a}.
$$[/tex]
Substituting the values:
[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].
