6.4.9 The problem: You are traveling in your 2000-kg pick-up truck at 20 m/s up

Question

6.4.9

The problem: You are traveling in your 2000-kg pick-up truck at 20 m/s up a hill with a 6.0degree incline when you see a goose crossing the road 24 in in front of you. You know from previous experience that when you hit the brakes, a 16.000-N friction force opposes the car's motion. Will you hit the goose? Proposed solution: (l/2)(2000 kg)(20 m/s)2 = (16.000 N)x or x = 25 m. Oops! Identify any missing elements or errors in the solution. Provide a corrected solution if you find any missing elements or errors. Pose a problem that can be solved with the generalized work-energy principle using the situation depicted in the illustration. Make a list of necessary givens and assumptions to solve the problem.

Explanation / Answer

they didnt incorporate the vector components of direction due to the 6 degree incline

(1/2)mv^2= Fdcos(tetha)

1/2 (2,000kg)(20m/s)=(16,000J)(x)(cos6)

20,000=15,912.4x

1.26m

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