Answer :
To find the mass of the crate when a force of 200 N causes it to accelerate at [tex]\(8 \, \text{m/s}^2\)[/tex], we can use the formula:
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force applied,
- [tex]\( m \)[/tex] is the mass,
- [tex]\( a \)[/tex] is the acceleration.
In this problem, we need to find the mass [tex]\( m \)[/tex]. We can rearrange the formula to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, let's plug in the given values:
- The force [tex]\( F \)[/tex] is 200 N,
- The acceleration [tex]\( a \)[/tex] is [tex]\(8 \, \text{m/s}^2\)[/tex].
Insert these values into the formula:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]
Now compute the result:
[tex]\[ m = 25 \, \text{kg} \][/tex]
Therefore, the mass of the crate is [tex]\(25 \, \text{kg}\)[/tex].
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force applied,
- [tex]\( m \)[/tex] is the mass,
- [tex]\( a \)[/tex] is the acceleration.
In this problem, we need to find the mass [tex]\( m \)[/tex]. We can rearrange the formula to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, let's plug in the given values:
- The force [tex]\( F \)[/tex] is 200 N,
- The acceleration [tex]\( a \)[/tex] is [tex]\(8 \, \text{m/s}^2\)[/tex].
Insert these values into the formula:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]
Now compute the result:
[tex]\[ m = 25 \, \text{kg} \][/tex]
Therefore, the mass of the crate is [tex]\(25 \, \text{kg}\)[/tex].
