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Answer :
To find the mass of the crate, we can use the formula for Newton's Second Law of Motion, which is [tex]\( F = ma \)[/tex]. In this formula:
- [tex]\( F \)[/tex] is the force applied, measured in Newtons (N).
- [tex]\( m \)[/tex] is the mass of the object, measured in kilograms (kg).
- [tex]\( a \)[/tex] is the acceleration, measured in meters per second squared (m/s²).
We are given:
- [tex]\( F = 200 \, \text{N} \)[/tex]
- [tex]\( a = 8 \, \text{m/s}^2 \)[/tex]
We need to find the mass [tex]\( m \)[/tex]. By rearranging the formula to solve for mass, we have:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, substitute in the values for [tex]\( F \)[/tex] and [tex]\( a \)[/tex]:
[tex]\[ m = \frac{200}{8} \][/tex]
When you divide 200 by 8, the result is 25.
Therefore, the mass of the crate is 25 kg. Thus, the correct answer is 25 kg.
- [tex]\( F \)[/tex] is the force applied, measured in Newtons (N).
- [tex]\( m \)[/tex] is the mass of the object, measured in kilograms (kg).
- [tex]\( a \)[/tex] is the acceleration, measured in meters per second squared (m/s²).
We are given:
- [tex]\( F = 200 \, \text{N} \)[/tex]
- [tex]\( a = 8 \, \text{m/s}^2 \)[/tex]
We need to find the mass [tex]\( m \)[/tex]. By rearranging the formula to solve for mass, we have:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, substitute in the values for [tex]\( F \)[/tex] and [tex]\( a \)[/tex]:
[tex]\[ m = \frac{200}{8} \][/tex]
When you divide 200 by 8, the result is 25.
Therefore, the mass of the crate is 25 kg. Thus, the correct answer is 25 kg.
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