Answer :
To find the mass of the crate, we can use the formula for force, which is given by:
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force applied, measured in Newtons (N),
- [tex]\( m \)[/tex] is the mass, measured in kilograms (kg),
- [tex]\( a \)[/tex] is the acceleration, measured in meters per second squared (m/s²).
In this problem, we are given:
- The force [tex]\( F = 200 \)[/tex] N,
- The acceleration [tex]\( a = 8 \)[/tex] m/s².
We need to solve for the mass [tex]\( m \)[/tex]. To do this, we can rearrange the formula to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, we simply substitute the given values into the equation:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]
[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, measured in Newtons (N),
- [tex]\( m \)[/tex] is the mass, measured in kilograms (kg),
- [tex]\( a \)[/tex] is the acceleration, measured in meters per second squared (m/s²).
In this problem, we are given:
- The force [tex]\( F = 200 \)[/tex] N,
- The acceleration [tex]\( a = 8 \)[/tex] m/s².
We need to solve for the mass [tex]\( m \)[/tex]. To do this, we can rearrange the formula to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, we simply substitute the given values into the equation:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]
[tex]\[ m = 25 \, \text{kg} \][/tex]
Therefore, the mass of the crate is 25 kg.
