To find the force that the man exerts on the car, we can use Newton's second law of motion. Newton's second law states that the force exerted on an object is equal to the mass of the object multiplied by its acceleration. This relationship can be expressed by the formula:
[tex]\[ F = m \times a \][/tex]
Where:
- [tex]\( F \)[/tex] is the force exerted (in Newtons, N),
- [tex]\( m \)[/tex] is the mass of the object (in kilograms, kg),
- [tex]\( a \)[/tex] is the acceleration of the object (in meters per second squared, m/s²).
Given the following values:
- The mass of the car ([tex]\( m \)[/tex]) is 800 kg.
- The acceleration of the car ([tex]\( a \)[/tex]) is 0.05 m/s².
We substitute these values into the formula:
[tex]\[ F = 800 \, \text{kg} \times 0.05 \, \text{m/s}^2 \][/tex]
When we perform the multiplication:
[tex]\[ F = 40 \, \text{N} \][/tex]
Thus, the force the man exerts on the car is [tex]\( 40.0 \, \text{N} \)[/tex].
