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A 60.0-kg skier with an initial speed of 12.0 m/s coasts

Chapter 7, Problem 24

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QUESTION:

A \(\text { 60.0-kg }\) skier with an initial speed of \(12.0 \mathrm{~m} / \mathrm{s}\) coasts up a \(2.50-\mathrm{m}\) high rise as shown in Figure \(7.40\). Find her final speed at the top, given that the coefficient of friction between her skis and the snow is \(0.0800\). (Hint: Find the distance traveled up the incline assuming a straight-line path as shown in the figure.)

                

Figure \(7.40\) The skier’s initial kinetic energy is partially used in coasting to the top of a rise.

Equation Transcription:

Text Transcription:

60.0-kg

12.0 m/s

2.50-m

7.40

0.0800

Questions & Answers

QUESTION:

A \(\text { 60.0-kg }\) skier with an initial speed of \(12.0 \mathrm{~m} / \mathrm{s}\) coasts up a \(2.50-\mathrm{m}\) high rise as shown in Figure \(7.40\). Find her final speed at the top, given that the coefficient of friction between her skis and the snow is \(0.0800\). (Hint: Find the distance traveled up the incline assuming a straight-line path as shown in the figure.)

                

Figure \(7.40\) The skier’s initial kinetic energy is partially used in coasting to the top of a rise.

Equation Transcription:

Text Transcription:

60.0-kg

12.0 m/s

2.50-m

7.40

0.0800

ANSWER:

Solution 24PE:

Step 1 of 3:-

        Here we need to find the final speed of the skier at the top.

        The mass of the skier is, .

        Initial speed was, .

        Height of the rise where she is coasting is, .

        The angle of the rise with the horizontal is, .

        The coefficient of friction is, .

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