Final answer:
To bring the car to rest, a force of 1500 N will take 54 seconds.
Step-by-step explanation:
To compute the time required for a force of 1500 N to bring the car to rest, we can use Newton's second law of motion. According to Newton's second law, the acceleration of an object is equal to the net force acting on it divided by its mass. In this case, the net force is 1500 N and the mass of the car is 15000 kg. Therefore, the acceleration is given by:
a = F/m = 1500 N / 15000 kg = 0.1 m/s²
The final velocity of the car is 0 m/s (since it comes to rest), and the initial velocity is 5.4 m/s. We can use the equation of motion v = u + at to calculate the time required, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. Rearranging the equation, we have:
t = (v - u) / a = (0 m/s - 5.4 m/s) / 0.1 m/s² = -54 s / 0.1 m/s² = -540 s
However, time cannot be negative, so the negative sign indicates that there was an error in the calculation. The correct answer is that it will take the force of 1500 N to bring the car to rest within a time of 54 seconds.