On an essentially frictionless, horizontal ice rink, a skater moving at 6.0 m/s

Question

On an essentially frictionless, horizontal ice rink, a skater moving at 6.0 m/s encounters a rough patch that reduces her speed by 49 % due to a friction force that is 21 % of her weight.

Part A

Use the work-energy theorem to find the length of this rough patch.

Express your answer using two significant figures.

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On an essentially frictionless, horizontal ice rink, a skater moving at 6.0 m/s encounters a rough patch that reduces her speed by 49 % due to a friction force that is 21 % of her weight.

Part A

Use the work-energy theorem to find the length of this rough patch.

Express your answer using two significant figures.

SubmitMy AnswersGive Up

Incorrect; Try Again; 4 attempts remaining

Explanation / Answer

Let the length of rough patch be d

Work done by friction =loss in kinetic energy

Frictional force =0.21*mg

Initial kinetic energy =0.5*m*6^2

=18m N

Final kinetic energy =0.5*m*(0.51*6)^2

=4.6818m N

Change in KE=13.3182m=0.21*mg*d

d =6.47 m = 6.5 m

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