To find the mass of a crate given the net force and acceleration, you can use Newton's second law of motion, which is represented by the formula:
[tex]\[ F = m \cdot a \][/tex]
Where:
- [tex]\( F \)[/tex] is the net force applied to the object.
- [tex]\( m \)[/tex] is the mass of the object.
- [tex]\( a \)[/tex] is the acceleration of the object.
In this problem:
- The net force [tex]\( F \)[/tex] is 300 Newtons (N).
- The acceleration [tex]\( a \)[/tex] is 25 meters per second squared (m/s²).
We need to solve for the mass [tex]\( m \)[/tex]. Rearrange the formula to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Next, substitute the given values into the formula:
[tex]\[ m = \frac{300 \, \text{N}}{25 \, \text{m/s}^2} \][/tex]
Perform the division:
[tex]\[ m = 12.0 \, \text{kg} \][/tex]
Therefore, the mass of the crate is 12.0 kg. Your answer is:
C. 12.0 N
