Final answer:
To calculate the force needed to bring a car to rest, we can use Newton's second law of motion. In this case, the force exerted on the car is approximately -11,324 N, in the opposite direction of the motion.
Step-by-step explanation:
To calculate the force needed to bring a car to rest, we can use Newton's second law of motion, which states that the force exerted on an object is equal to its mass multiplied by its acceleration. In this case, the car's mass is given as 1435 kg and it decelerates from 25.60 m/s to rest in 3.253 seconds. The acceleration can be calculated using the equation acceleration = (final velocity - initial velocity) / time.
Once we have the acceleration, we can use the formula force = mass * acceleration to calculate the force exerted on the car. Plugging in the values, we get:
force = 1435 kg * ((0 m/s - 25.60 m/s) / 3.253 s)
Calculating this gives us the force to be approximately -11,324 N. Since force is a vector quantity, the negative sign indicates that the force is in the opposite direction of the motion.