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Question: In an ice rink a skator is moving at 3 ms<sup>-1</sup> and encounters a rough patch that reduces her...

In an ice rink a skator is moving at 3 ms-1 and encounters a rough patch that reduces her speed by 45% due to a friction force that is 25% of her weight. Find the length of the rough patch

A

1.56 m

B

1.46 m

C

1.36 m

D

1.26 m

Answer

1.26 m

Explanation

Solution

= vi2vf22μg=32(1(.55)2)2×2.5\frac{v_{i}^{2} - v_{f}^{2}}{2\mu g} = \frac{3^{2}\left( 1 - (.55)^{2} \right)}{2 \times 2.5}

= 1.8 [.7] = 1.26 m