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 (in Newtons),
- [tex]\( m \)[/tex] is the mass (in kilograms),
- [tex]\( a \)[/tex] is the acceleration (in meters per second squared).
In this problem, you are given:
- A force ([tex]\( F \)[/tex]) of 200 N,
- An acceleration ([tex]\( a \)[/tex]) of [tex]\( 8 \, \text{m/s}^2 \)[/tex].
We need to find the mass ([tex]\( m \)[/tex]). To do this, rearrange the formula to solve for the mass:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, plug in the values given:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]
When you divide 200 by 8, the result is:
[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 (in Newtons),
- [tex]\( m \)[/tex] is the mass (in kilograms),
- [tex]\( a \)[/tex] is the acceleration (in meters per second squared).
In this problem, you are given:
- A force ([tex]\( F \)[/tex]) of 200 N,
- An acceleration ([tex]\( a \)[/tex]) of [tex]\( 8 \, \text{m/s}^2 \)[/tex].
We need to find the mass ([tex]\( m \)[/tex]). To do this, rearrange the formula to solve for the mass:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, plug in the values given:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]
When you divide 200 by 8, the result is:
[tex]\[ m = 25 \, \text{kg} \][/tex]
Therefore, the mass of the crate is 25 kg.
