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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
Two blocks, one with a mass of 5 kg and one with a mass of 10 kg, are connected by a spring. You move them together so the spring is compressed between them. When you let go, both blocks accelerate away from each other. Which of the following statements is true of this situation?
First, we need to find the change in velocity or final velocity minus initial velocity. Final velocity = 29 m/s Initial velocity = 14 m/s Change in velocity = 29 m/s - 14 m/s = 15 m/s Second, using Newton's second law of motion (Force = mass × acceleration), we find acceleration by Force divided by Mass: Since Force exerted by engine = 720 N and Time = 12 seconds, the change in momentum (final momentum - initial momentum) would be Force × Time = 720 N × 12 s = 8640 kg m/s. Now, According to the law of conservation of momentum, the change in momentum would be equal to mass × change in velocity. So, Mass of the ATV = (Change in momentum)/(Change in velocity) = 8640 kg m/s ÷ 15 m/s = 576 kg So, the mass of the ATV is 576 kilograms.
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