Two ice boats (one of mass m, one of mass 2m) hold a race on a frictionless, horizontal, frozen lake. Bath ice boats start at rest, and the wind exerts the same constant force on both iceboats. After moving a same distance s, which iceboat crosses the finish line with a quicker speed v

Question

Physics

Gabriel Decker

31 October, 10:10

Two ice boats (one of mass m, one of mass 2m) hold a race on a frictionless, horizontal, frozen lake. Bath ice boats start at rest, and the wind exerts the same constant force on both iceboats. After moving a same distance s, which iceboat crosses the finish line with a quicker speed v

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Answers (1)

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Oscar Arellano · Answer 1

They both cross the finish line with the same kinetic energy

Explanation:

Same force, same displacement, so same KE at the location of the finish line. They don't cross the line at the same time, but that was not the question!

∆KA = (mA/2) vF, A2

∆KA=∆KBso vF, B/vF, A = (MA/MB) 1/2∆KB = (mB/2) vF, B2

Lighter boat goes faster so reaches finish line 1st