The solution provided by a friend for the following problem and also analyze the mistakes he made in it, determining the correct solution and explaining the possible reasons for the mistakes. The problem: A 400 kg motor cycle, including the driver, travels up a 10 m long ram inclined at 30 ° above the paved horizontal surface holding the ramp. The cycle leaves the ramp at 20 m/s . Determine the cycle’s speed just before it lands on the paved surface. The solution given by a friend: 1 2 ( 400 kg ) ( 20 m/s ) = ( 400 kg ) ( 9 .8 m/s 2 ) ( 10 m ) + 1 2 ( 400 kg ) v 2 v = − 13.2 m/s

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Chapter 7, Problem 43P

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To analyze: The solution provided by a friend for the following problem and also analyze the mistakes he made in it, determining the correct solution and explaining the possible reasons for the mistakes.

The problem: A 400 kg motor cycle, including the driver, travels up a 10 m long ram inclined at 30° above the paved horizontal surface holding the ramp. The cycle leaves the ramp at 20 m/s. Determine the cycle’s speed just before it lands on the paved surface.

The solution given by a friend:

12(400 kg)(20 m/s)=(400 kg)(9.8 m/s2)(10 m)+12(400 kg)v2v=−13.2 m/s

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