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 (in newtons),
- [tex]\( m \)[/tex] is the mass of the object (in kilograms),
- [tex]\( a \)[/tex] is the acceleration (in meters per second squared).
We need to solve for the mass [tex]\( m \)[/tex]. Rearranging the formula gives us:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, let's plug in the known values:
- [tex]\( F = 200 \, \text{N} \)[/tex] (the force applied),
- [tex]\( a = 8 \, \text{m/s}^2 \)[/tex] (the acceleration).
Substituting these into the formula:
[tex]\[ m = \frac{200}{8} \][/tex]
[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 (in newtons),
- [tex]\( m \)[/tex] is the mass of the object (in kilograms),
- [tex]\( a \)[/tex] is the acceleration (in meters per second squared).
We need to solve for the mass [tex]\( m \)[/tex]. Rearranging the formula gives us:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, let's plug in the known values:
- [tex]\( F = 200 \, \text{N} \)[/tex] (the force applied),
- [tex]\( a = 8 \, \text{m/s}^2 \)[/tex] (the acceleration).
Substituting these into the formula:
[tex]\[ m = \frac{200}{8} \][/tex]
[tex]\[ m = 25 \, \text{kg} \][/tex]
Therefore, the mass of the crate is [tex]\( 25 \, \text{kg} \)[/tex].
