Answer :
To find the mass of a crate given the net force and acceleration, we use Newton's second law of motion, which states:
[tex]\[ F = ma \][/tex]
Here, [tex]\( F \)[/tex] is the net force, [tex]\( m \)[/tex] is the mass, and [tex]\( a \)[/tex] is the acceleration. We need to solve for the mass [tex]\( m \)[/tex].
Given:
- Net force, [tex]\( F = 12 \, \text{N} \)[/tex]
- Acceleration, [tex]\( a = 0.20 \, \text{m/s}^2 \)[/tex]
We can rearrange the formula to solve for mass [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Substitute the given values into the equation:
[tex]\[ m = \frac{12 \, \text{N}}{0.20 \, \text{m/s}^2} \][/tex]
When you divide 12 by 0.20, you get:
[tex]\[ m = 60 \, \text{kg} \][/tex]
Therefore, the mass of the crate is:
[tex]\[ \boxed{60 \, \text{kg}} \][/tex]
[tex]\[ F = ma \][/tex]
Here, [tex]\( F \)[/tex] is the net force, [tex]\( m \)[/tex] is the mass, and [tex]\( a \)[/tex] is the acceleration. We need to solve for the mass [tex]\( m \)[/tex].
Given:
- Net force, [tex]\( F = 12 \, \text{N} \)[/tex]
- Acceleration, [tex]\( a = 0.20 \, \text{m/s}^2 \)[/tex]
We can rearrange the formula to solve for mass [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Substitute the given values into the equation:
[tex]\[ m = \frac{12 \, \text{N}}{0.20 \, \text{m/s}^2} \][/tex]
When you divide 12 by 0.20, you get:
[tex]\[ m = 60 \, \text{kg} \][/tex]
Therefore, the mass of the crate is:
[tex]\[ \boxed{60 \, \text{kg}} \][/tex]
