Answer :
To determine the mass of a crate when a force is applied to it, we can use Newton's second law of motion. The formula we use is:
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force applied (in newtons, N),
- [tex]\( m \)[/tex] is the mass (in kilograms, kg),
- [tex]\( a \)[/tex] is the acceleration (in meters per second squared, m/s²).
In this question, 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]). To do this, we rearrange the formula to solve for mass:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, 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 25 kg.
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the force applied (in newtons, N),
- [tex]\( m \)[/tex] is the mass (in kilograms, kg),
- [tex]\( a \)[/tex] is the acceleration (in meters per second squared, m/s²).
In this question, 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]). To do this, we rearrange the formula to solve for mass:
[tex]\[ m = \frac{F}{a} \][/tex]
Now, 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 25 kg.
