Final answer:
The net force acting on the car to decelerate it from 27.0 m/s to 17.0 m/s is 1725 N, directed to the west. This is calculated using Newton's second law of motion and the acceleration of the car.
Step-by-step explanation:
The student has asked to find the magnitude and direction of the net force that causes a 1380 kg car to decelerate from 27.0 m/s to 17.0 m/s in 8.00 seconds. To solve this, we can use Newton's second law of motion, which states that the net force on an object is equal to the mass of the object multiplied by its acceleration (F = ma).
First, we find the acceleration of the car by using the formula:
a = (v - u) / t
where v is the final velocity, u is the initial velocity, and t is the time taken. Plugging in the values, we get:
a = (17.0 m/s - 27.0 m/s) / 8.00 s = -1.25 m/s²
The negative sign indicates that the car is decelerating.
Next, we use Newton's second law to find the net force:
F = m × a
Substituting the given mass and the calculated acceleration, we get:
F = 1380 kg × (-1.25 m/s²) = -1725 N
The magnitude of the force is 1725 N, and since the acceleration is negative (opposite to the direction of velocity), the direction of the force is west.
The answer is Magnitude: 1725 N, Direction: West, which corresponds to none of the provided multiple-choice options, indicating a possible mistake in the question or the options provided.