Answer :
To find the mass of the crate, we use the formula for force:
[tex]\[ F = ma \][/tex]
Where:
- [tex]\( F \)[/tex] is the force applied,
- [tex]\( m \)[/tex] is the mass,
- [tex]\( a \)[/tex] is the acceleration.
We need to solve for the mass [tex]\( m \)[/tex], so we rearrange the formula to:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, we can plug in the values:
- [tex]\( F = 200 \)[/tex] Newtons
- [tex]\( a = 8 \)[/tex] m/s²
Substitute these values into the rearranged equation:
[tex]\[ m = \frac{200}{8} \][/tex]
When we perform the division:
[tex]\[ m = 25 \, \text{kg} \][/tex]
Therefore, the mass of the crate is 25 kg. So, the correct answer is the first option: 25 kg.
[tex]\[ F = ma \][/tex]
Where:
- [tex]\( F \)[/tex] is the force applied,
- [tex]\( m \)[/tex] is the mass,
- [tex]\( a \)[/tex] is the acceleration.
We need to solve for the mass [tex]\( m \)[/tex], so we rearrange the formula to:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, we can plug in the values:
- [tex]\( F = 200 \)[/tex] Newtons
- [tex]\( a = 8 \)[/tex] m/s²
Substitute these values into the rearranged equation:
[tex]\[ m = \frac{200}{8} \][/tex]
When we perform the division:
[tex]\[ m = 25 \, \text{kg} \][/tex]
Therefore, the mass of the crate is 25 kg. So, the correct answer is the first option: 25 kg.
