To determine the car's acceleration, we can use Newton's second law of motion, which is given by the formula:
[tex]\[ F = ma \][/tex]
Here, [tex]\( F \)[/tex] is the force applied, [tex]\( m \)[/tex] is the mass of the object, and [tex]\( a \)[/tex] is the acceleration.
We are given:
- The mass of the car ([tex]\( m \)[/tex]) is 1,200 kg.
- The force exerted by the engine ([tex]\( F \)[/tex]) is 600 N.
We need to find the acceleration ([tex]\( a \)[/tex]). We can rearrange the formula to solve for [tex]\( a \)[/tex]:
[tex]\[ a = \frac{F}{m} \][/tex]
Substituting the given values into the equation:
[tex]\[ a = \frac{600 \text{ N}}{1200 \text{ kg}} \][/tex]
Upon performing the division:
[tex]\[ a = 0.5 \text{ m/s}^2 \][/tex]
Therefore, the acceleration of the car is:
[tex]\[ 0.5 \text{ m/s}^2 \][/tex]
Among the given options, the correct answer is:
[tex]\[ 0.5 \text{ m/s}^2 \][/tex]
