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(Solved): On an essentially frictionless, horizontal ice rink, a skater moving at 6.0m/s encounters a rough ...



On an essentially frictionless, horizontal ice rink, a skater moving at \( 6.0 \mathrm{~m} / \mathrm{s} \) encounters a rough
On an essentially frictionless, horizontal ice rink, a skater moving at encounters a rough patch that reduces her speed by due to a friction force that is of her weight. Use the work-energy theorem to find the length of this rough patch. Express your answer in meters. II « Incorrect; Try Again


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Let's denote the initial speed of the skater as v1= 6.0 m/s and the final speed after encountering the rough patch as v2.

We can calculate v2 using the given information that her speed is reduced by 43%.



To find the length of the rough patch, we can use the work-energy theorem. So, we need to first calculate final speed of the skater for easily calculate kinetic energy.


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