Question

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

Answer 1

Answer:

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

Answer 2

The iceboat crosses the finish line with a quicker speed at the time when they both cross the finish line with the same kinetic energy.

Which iceboat crosses the finish line?

Here both the icebergs will contain the same kinetic energy since the kinetic energy stored will be

Here = F *x

F = force because of the wind

and x = distance to the finish line which is the same for the two ice-bergs. hence the velocities may be different however their final kinetic energies will be the same.

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