Answer :
To find the mass of the crate, you can use the formula for force, which is:
[tex]\[ F = m \times a \][/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're given:
- A force ([tex]\( F \)[/tex]) of 200 Newtons,
- An acceleration ([tex]\( a \)[/tex]) of 8 meters per second squared.
To find the mass ([tex]\( m \)[/tex]), you need to rearrange the formula to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Now you can plug the known values into this formula:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]
[tex]\[ m = 25 \, \text{kg} \][/tex]
So, the mass of the crate is 25 kilograms.
[tex]\[ F = m \times a \][/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're given:
- A force ([tex]\( F \)[/tex]) of 200 Newtons,
- An acceleration ([tex]\( a \)[/tex]) of 8 meters per second squared.
To find the mass ([tex]\( m \)[/tex]), you need to rearrange the formula to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Now you can plug the known values into this formula:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]
[tex]\[ m = 25 \, \text{kg} \][/tex]
So, the mass of the crate is 25 kilograms.
