Answer :
To find the mass of the crate, we can use the formula:
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force applied (in Newtons),
- [tex]\( m \)[/tex] is the mass of the object (in kilograms),
- [tex]\( a \)[/tex] is the acceleration (in meters per second squared).
Given:
- The force [tex]\( F = 200 \, \text{N} \)[/tex]
- The acceleration [tex]\( a = 8 \, \text{m/s}^2 \)[/tex]
We need to find the mass [tex]\( m \)[/tex]. We can rearrange the formula to solve for mass:
[tex]\[ m = \frac{F}{a} \][/tex]
Substituting the given values into the equation:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]
[tex]\[ m = 25 \, \text{kg} \][/tex]
Therefore, the mass of the crate is [tex]\( 25 \, \text{kg} \)[/tex].
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force applied (in Newtons),
- [tex]\( m \)[/tex] is the mass of the object (in kilograms),
- [tex]\( a \)[/tex] is the acceleration (in meters per second squared).
Given:
- The force [tex]\( F = 200 \, \text{N} \)[/tex]
- The acceleration [tex]\( a = 8 \, \text{m/s}^2 \)[/tex]
We need to find the mass [tex]\( m \)[/tex]. We can rearrange the formula to solve for mass:
[tex]\[ m = \frac{F}{a} \][/tex]
Substituting the given values into the equation:
[tex]\[ m = \frac{200 \, \text{N}}{8 \, \text{m/s}^2} \][/tex]
[tex]\[ m = 25 \, \text{kg} \][/tex]
Therefore, the mass of the crate is [tex]\( 25 \, \text{kg} \)[/tex].
