Sure, let’s solve the problem step-by-step:
### a. Known and Unknown Values:
- Known Values:
- Mass of the van, [tex]\( m = 1800 \)[/tex] kg
- Acceleration of the van, [tex]\( a = 3.0 \)[/tex] m/s²
- Unknown Value:
- Net force acting on the van, [tex]\( F \)[/tex]
### b. Solve the Problem:
To determine the net force acting on the van, we can use Newton's Second Law of Motion, which states:
[tex]\[ F = ma \][/tex]
where:
- [tex]\( F \)[/tex] is the net force
- [tex]\( m \)[/tex] is the mass
- [tex]\( a \)[/tex] is the acceleration
Given:
[tex]\[ m = 1800 \, \text{kg} \][/tex]
[tex]\[ a = 3.0 \, \text{m/s}^2 \][/tex]
Now, substituting the given values into the equation:
[tex]\[ F = 1800 \, \text{kg} \times 3.0 \, \text{m/s}^2 \][/tex]
Multiplying the values,
[tex]\[ F = 5400 \, \text{N} \][/tex]
Therefore, the net force acting on the van is:
[tex]\[ 5400 \, \text{N} \][/tex]
