Answer :
Final answer:
The average net force required to accelerate the motor scooter to the given speed over the given distance is 1.25 N.
Explanation:
To calculate the average net force required to accelerate the motor scooter, we can use Newton's second law of motion, which states that force is equal to mass times acceleration: F = ma. First, let's calculate the acceleration using the formula for average acceleration: a = (vf - vi) / t, where vf is the final velocity, vi is the initial velocity, and t is the time taken. Since the scooter is initially at rest and the distance is given, we can solve for time: t = d / vf. Plugging in the values, we calculate the acceleration to be a = (32.5 m/s - 0) / (195 m / 32.5 m/s) = 0.1667 m/s^2. Next, we can substitute the mass of the scooter and the acceleration into Newton's second law to find the net force: F = (7.50 kg)(0.1667 m/s^2) = 1.25 N. Therefore, an average net force of 1.25 N is required to accelerate the motor scooter to the given speed over the given distance.
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