Final answer:
To find the total driving force on the car, we use Newton's second law to calculate the net force and then add resistive force to it. The net force needed for the car's acceleration is 300 N. Therefore, the total driving force (T) is 800 N after adding the resistive force of 500 N.
Step-by-step explanation:
The question is asking to calculate the driving force on a car given its mass, acceleration, and the resistive force opposing it. According to Newton's second law of motion, the force (F) applied on an object is equal to the mass (m) of the object multiplied by its acceleration (a). In mathematical terms, this is F = m * a. For a car with a mass of 1000 kg accelerating at 0.30 m/s², the net force required can be calculated using this formula.
The resistive force, which includes friction and air resistance, is given as 500 N and acts against the direction of acceleration. This means that the total driving force (T) needed for the car to accelerate has to overcome this resistive force as well. Therefore, the total driving force is equal to the net force plus the resistance force.
Using the formula, we find:
- F (net force) = m * a = 1000 kg * 0.30 m/s² = 300 N
- T (total driving force) = F (net force) + Resistive force = 300 N + 500 N = 800 N
Thus, the total driving force T on the car is 800 N.