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Sagot :
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).
### 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).
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