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Alex17521 [72]
3 years ago
5

On an essentially frictionless, horizontal ice rink, a skater moving at 3.0 m/s encounters a rough patch that reduces her speed

by 45% due to a friction force that is 25% of her weight. Use the work‑energy theorem to find the length of this rough patch.
Physics
1 answer:
JulsSmile [24]3 years ago
7 0

Answer: 1.25 m

Explanation:

Given

initial velocity(v_i )=3 m/s

Final velocity(v_f)=0.55\times 3=1.65 m/s

Change in kinetic Energy =work done by Friction

change in Kinetic Energy=\frac{m}{2}\left ( v_i^2-v_f^2\right )

work done by friction=\mu mgL

\frac{m}{2}\left ( 3^2-1.65^2\right )=0.25\cdot mg\times L

3.135=0.25\times 9.8\times L

L=1.25

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See Explanation

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