The work W 0 accelerates a car from 0 to 50 km/h. (a) Is the work required to ac
ID: 1664243 • Letter: T
Question
The work W0 accelerates a car from 0 to 50 km/h. (a) Is the work required to acceleratethe car from 50 km/h to 150 km/h equal to 2W0,3W0, 8W0, or 9W0? (b) Choose the bestexplanation from among the following: I. The work to accelerate thecar depends on the speed squared. II. The final speed is threetimes the speed that was produced by the workW0. III. The increase in speedfrom 50 km/h to 150 km/h is twice the increase in speed from 0 to50 km/h.(a) Is the work required to acceleratethe car from 50 km/h to 150 km/h equal to 2W0,3W0, 8W0, or 9W0? (b) Choose the bestexplanation from among the following: I. The work to accelerate thecar depends on the speed squared. II. The final speed is threetimes the speed that was produced by the workW0. III. The increase in speedfrom 50 km/h to 150 km/h is twice the increase in speed from 0 to50 km/h.
Explanation / Answer
W = KE = 0.5*m*(vf^2 - vi^2) vi = 0 Thus W = 0.5*m*vf^2 if vf = 150 = 3*50 => vf^2 = 9*50^2 Thus W = 9*W0 b) I.
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