Answer :
To find the mass of the crate, we can use the formula for force:
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force applied (measured in newtons, N),
- [tex]\( m \)[/tex] is the mass of the object (measured in kilograms, kg),
- [tex]\( a \)[/tex] is the acceleration (measured in meters per second squared, m/s²).
Here, we need to solve for the mass [tex]\( m \)[/tex]. We can rearrange the formula to:
[tex]\[ m = \frac{F}{a} \][/tex]
Given that:
- The force [tex]\( F \)[/tex] is 200 N,
- The acceleration [tex]\( a \)[/tex] is 8 m/s²,
We can substitute these values into the formula:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]
[tex]\[ m = 25 \, \text{kg} \][/tex]
So, the mass of the crate is 25 kg.
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force applied (measured in newtons, N),
- [tex]\( m \)[/tex] is the mass of the object (measured in kilograms, kg),
- [tex]\( a \)[/tex] is the acceleration (measured in meters per second squared, m/s²).
Here, we need to solve for the mass [tex]\( m \)[/tex]. We can rearrange the formula to:
[tex]\[ m = \frac{F}{a} \][/tex]
Given that:
- The force [tex]\( F \)[/tex] is 200 N,
- The acceleration [tex]\( a \)[/tex] is 8 m/s²,
We can substitute these values into the formula:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]
[tex]\[ m = 25 \, \text{kg} \][/tex]
So, the mass of the crate is 25 kg.
