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Answer :
To find the mass of the crate, we can use Newton's second law of motion. This law states that the force applied to an object is equal to the mass of the object multiplied by its acceleration. The formula is:
[tex]\[ F = m \times a \][/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).
In the problem, we are given:
- Force ([tex]\( F \)[/tex]) = 200 N
- Acceleration ([tex]\( a \)[/tex]) = 8 m/s²
We need to find the mass ([tex]\( m \)[/tex]). We can rearrange the formula to solve for mass:
[tex]\[ m = \frac{F}{a} \][/tex]
Substitute the given values into the formula:
[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 25 kg.
[tex]\[ F = m \times a \][/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).
In the problem, we are given:
- Force ([tex]\( F \)[/tex]) = 200 N
- Acceleration ([tex]\( a \)[/tex]) = 8 m/s²
We need to find the mass ([tex]\( m \)[/tex]). We can rearrange the formula to solve for mass:
[tex]\[ m = \frac{F}{a} \][/tex]
Substitute the given values into the formula:
[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 25 kg.
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