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,
- [tex]\( m \)[/tex] is the mass of the object, and
- [tex]\( a \)[/tex] is the acceleration.
We are given:
- [tex]\( F = 200 \, \text{N} \)[/tex] (Newtons)
- [tex]\( a = 8 \, \text{m/s}^2 \)[/tex] (meters per second squared)
We need to find the mass [tex]\( m \)[/tex]. To do this, we can 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]
Divide the force by the acceleration:
[tex]\[ m = 25 \, \text{kg} \][/tex]
Therefore, the mass of the crate is 25 kilograms. The correct option is 25 kg.
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force applied,
- [tex]\( m \)[/tex] is the mass of the object, and
- [tex]\( a \)[/tex] is the acceleration.
We are given:
- [tex]\( F = 200 \, \text{N} \)[/tex] (Newtons)
- [tex]\( a = 8 \, \text{m/s}^2 \)[/tex] (meters per second squared)
We need to find the mass [tex]\( m \)[/tex]. To do this, we can 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]
Divide the force by the acceleration:
[tex]\[ m = 25 \, \text{kg} \][/tex]
Therefore, the mass of the crate is 25 kilograms. The correct option is 25 kg.
