Answer :
To find the mass of the crate, we use the formula for force:
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force applied (in Newtons),
- [tex]\( m \)[/tex] is the mass (in kilograms),
- [tex]\( a \)[/tex] is the acceleration (in meters per second squared).
We need to solve for [tex]\( m \)[/tex]. To do this, we rearrange the formula to solve for mass:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, let's plug in the given values:
- The force [tex]\( F \)[/tex] is 200 Newtons.
- The acceleration [tex]\( a \)[/tex] is [tex]\( 8 \, \text{m/s}^2 \)[/tex].
Substitute these values into the formula:
[tex]\[ m = \frac{200}{8} \][/tex]
Calculate:
[tex]\[ m = 25 \, \text{kg} \][/tex]
Therefore, the mass of the crate is 25 kg.
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force applied (in Newtons),
- [tex]\( m \)[/tex] is the mass (in kilograms),
- [tex]\( a \)[/tex] is the acceleration (in meters per second squared).
We need to solve for [tex]\( m \)[/tex]. To do this, we rearrange the formula to solve for mass:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, let's plug in the given values:
- The force [tex]\( F \)[/tex] is 200 Newtons.
- The acceleration [tex]\( a \)[/tex] is [tex]\( 8 \, \text{m/s}^2 \)[/tex].
Substitute these values into the formula:
[tex]\[ m = \frac{200}{8} \][/tex]
Calculate:
[tex]\[ m = 25 \, \text{kg} \][/tex]
Therefore, the mass of the crate is 25 kg.
