2. A car is being towed. If its mass is 1750 kg and it accelerates at [tex]5 \, \text{m/s}^2[/tex], how much net force is involved?



Answer :

Certainly! Let's solve this step-by-step using the known principles of physics.

### Step-by-Step Solution:

1. Identify the given values:
- Mass of the car ([tex]\( m \)[/tex]): 1750 kg
- Acceleration ([tex]\( a \)[/tex]): 5 m/s²

2. Recall Newton's Second Law of Motion:
Newton's Second Law states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. Mathematically, this law is expressed as:
[tex]\[ F = m \times a \][/tex]
where:
- [tex]\( F \)[/tex] is the net force
- [tex]\( m \)[/tex] is the mass
- [tex]\( a \)[/tex] is the acceleration

3. Substitute the given values into the formula:
[tex]\[ F = 1750 \, \text{kg} \times 5 \, \text{m/s}^2 \][/tex]

4. Perform the multiplication:
[tex]\[ F = 8750 \, \text{kg} \cdot \text{m/s}^2 \][/tex]

5. Interpret the result:
The unit [tex]\( \text{kg} \cdot \text{m/s}^2 \)[/tex] is equivalent to a Newton (N), which is the unit of force.

### Final Answer:
The net force involved in towing the car is [tex]\( 8750 \)[/tex] Newtons (N).