Answer :
To find the mass of the crate, we can use the formula for force, which is [tex]\( F = ma \)[/tex]. In this formula:
- [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 of the object, measured in meters per second squared ([tex]\( m/s^2 \)[/tex]).
We are given:
- The force [tex]\( F = 200 \)[/tex] N.
- The acceleration [tex]\( a = 8 \, m/s^2 \)[/tex].
We need to find the mass [tex]\( m \)[/tex]. We can rearrange the formula to solve for mass by dividing both sides by the acceleration:
[tex]\[ m = \frac{F}{a} \][/tex]
Substitute the given values:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, m/s^2} \][/tex]
Now, divide the force by the acceleration:
[tex]\[ m = 25 \, \text{kg} \][/tex]
Therefore, the mass of the crate is 25 kg.
- [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 of the object, measured in meters per second squared ([tex]\( m/s^2 \)[/tex]).
We are given:
- The force [tex]\( F = 200 \)[/tex] N.
- The acceleration [tex]\( a = 8 \, m/s^2 \)[/tex].
We need to find the mass [tex]\( m \)[/tex]. We can rearrange the formula to solve for mass by dividing both sides by the acceleration:
[tex]\[ m = \frac{F}{a} \][/tex]
Substitute the given values:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, m/s^2} \][/tex]
Now, divide the force by the acceleration:
[tex]\[ m = 25 \, \text{kg} \][/tex]
Therefore, the mass of the crate is 25 kg.
