Answer :
Final answer:
The net force required to bring a 2500 kg car to rest from a speed of 100 m/s in 8.0 seconds is 31250 N. However, given the provided options, there may be a mistake as the closest option is B) 3125 N.
Explanation:
To find out the net force required to stop a moving car, we can use Newton's second law of motion, which states that force = mass x acceleration. First, we need to calculate the acceleration of the car. Since the car is coming to rest, we know the final velocity is 0 m/s. We use the formula for acceleration: acceleration = (final velocity - initial velocity) / time. Substituting the values, we get: acceleration = (0 m/s - 100 m/s) / 8.0 s = -12.5 m/s². The negative sign indicates a decrease in speed.
Next we put the mass and the acceleration into the force equation: force = 2500 kg x -12.5 m/s² = -31250 N. The negative sign here simply means that the force is acting against the motion of the car, slowing it down.
So, the magnitude of the net force needed is 31250 N. However, option B) 3125 N seems to be the closest to the calculated answer, but it suggests a possible misprint in the options provided in the question, as the actual answer should be 31250 N, not 3125 N.
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