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Question: Evan accelerates his ATV so that the engine exerts a 720 N force for 12 seconds. The ATV speeds up from 14 m/s to 29 m/s. What is the mass of the ATV? ______________ kilograms
The ATV is subject to acceleration, so we know from Newton's second law of motion that force equals mass times acceleration (F = ma). First, we calculate the acceleration by subtracting the initial speed from the final speed and dividing it by the time it took for the change of speed. Acceleration = (Final speed - Initial speed) / Time = (29 m/s - 14 m/s) / 12 s = 15 m/s / 12 s = 1.25 m/s² Then we use the equation F = ma to solve for mass: Mass = Force / Acceleration = 720 N / 1.25 m/s² = 576 kilograms So the mass of the ATV is 576 kilograms.
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