Answer :
To find the mass of the crate, you can use the formula for force, which is:
[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).
Given:
- [tex]\( F = 200 \)[/tex] N
- [tex]\( a = 8 \)[/tex] m/s²
We need to solve for mass [tex]\( m \)[/tex]. Rearrange the formula to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, substitute the given values into the equation:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]
Calculating this gives:
[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 of the object, measured in kilograms (kg),
- [tex]\( a \)[/tex] is the acceleration, measured in meters per second squared (m/s²).
Given:
- [tex]\( F = 200 \)[/tex] N
- [tex]\( a = 8 \)[/tex] m/s²
We need to solve for mass [tex]\( m \)[/tex]. Rearrange the formula to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, substitute the given values into the equation:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]
Calculating this gives:
[tex]\[ m = 25 \, \text{kg} \][/tex]
Therefore, the mass of the crate is 25 kg.
