Answer :
To solve this problem, we need to apply Newton's second law of motion, which states:
[tex]\[ F = m \times a \][/tex]
Where:
- [tex]\( F \)[/tex] is the force applied (in Newtons, N),
- [tex]\( m \)[/tex] is the mass of the object (in kilograms, kg),
- [tex]\( a \)[/tex] is the acceleration (in meters per second squared, m/s²).
We are given:
- The force [tex]\( F = 200 \, \text{N} \)[/tex],
- The acceleration [tex]\( a = 8 \, \text{m/s}^2 \)[/tex].
We need to find the mass [tex]\( m \)[/tex] of the crate. To do this, we can rearrange the formula to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Plug 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]\[ F = m \times a \][/tex]
Where:
- [tex]\( F \)[/tex] is the force applied (in Newtons, N),
- [tex]\( m \)[/tex] is the mass of the object (in kilograms, kg),
- [tex]\( a \)[/tex] is the acceleration (in meters per second squared, m/s²).
We are given:
- The force [tex]\( F = 200 \, \text{N} \)[/tex],
- The acceleration [tex]\( a = 8 \, \text{m/s}^2 \)[/tex].
We need to find the mass [tex]\( m \)[/tex] of the crate. To do this, we can rearrange the formula to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Plug 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.
