Answer :
Sure! Let's solve this problem step by step using the formula for force:
The formula to calculate force is:
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force applied (in newtons, N),
- [tex]\( m \)[/tex] is the mass of the object (in kilograms, kg),
- [tex]\( a \)[/tex] is the acceleration (in meters per second squared, m/s²).
In this problem, we have been given:
- [tex]\( F = 200 \, \text{N} \)[/tex]
- [tex]\( a = 8 \, \text{m/s}^2 \)[/tex]
We need to find the mass [tex]\( m \)[/tex]. To do this, we can rearrange the formula as follows:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, plug the given values into the formula:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]
[tex]\[\quad \, = 25 \, \text{kg} \][/tex]
So, the mass of the crate is 25 kg.
The formula to calculate force is:
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force applied (in newtons, N),
- [tex]\( m \)[/tex] is the mass of the object (in kilograms, kg),
- [tex]\( a \)[/tex] is the acceleration (in meters per second squared, m/s²).
In this problem, we have been given:
- [tex]\( F = 200 \, \text{N} \)[/tex]
- [tex]\( a = 8 \, \text{m/s}^2 \)[/tex]
We need to find the mass [tex]\( m \)[/tex]. To do this, we can rearrange the formula as follows:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, plug the given values into the formula:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]
[tex]\[\quad \, = 25 \, \text{kg} \][/tex]
So, the mass of the crate is 25 kg.
