A 65.0 kg skier with an initial speed of 13.0 m/s coasts up a 2.50 m high rise as shown in the following figure. V= ? KE, 2.5 m 35 Find her final speed at the top (in m/s), 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.) m/s

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Chapter1: Units, Trigonometry. And Vectors
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**Physics Problem: Kinetics and Friction on a Slope**

**Problem Statement:**

A skier with a mass of 65.0 kg, starting with an initial speed of 13.0 m/s, coasts up a 2.50 m high slope. The figure shows the skier along with the following details:

- Initial kinetic energy (KE) is indicated with a velocity \( v_i \).
- The slope makes an angle of 35° with the horizontal.
- The height at the top of the slope is 2.50 m.
- The final velocity \( v_f \) at the top of the slope is to be determined.

**Question:**

Find the skier's final speed at the top of the incline (in m/s), given that the coefficient of friction between the 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.)

**Answer Box:**
\[ \text{Final Speed:} \ \_\_\_ \, \text{m/s} \]

**Additional Materials:**

- Reading resource is attached for further reference.

**Diagram Explanation:**

The diagram shows a skier moving up a slope, highlighting the initial kinetic energy and the various forces acting on the skier. The slope is inclined at 35°, and the rise in elevation is shown as 2.50 m.

**Instructions for Solution:**

1. Calculate the distance up the incline using trigonometry.
2. Apply energy conservation and friction work concepts to find the final speed.
3. Consider how the friction coefficient affects the kinetic energy loss.

This problem encourages understanding of energy transformation, the effect of friction, and trigonometric applications in physics.
Transcribed Image Text:**Physics Problem: Kinetics and Friction on a Slope** **Problem Statement:** A skier with a mass of 65.0 kg, starting with an initial speed of 13.0 m/s, coasts up a 2.50 m high slope. The figure shows the skier along with the following details: - Initial kinetic energy (KE) is indicated with a velocity \( v_i \). - The slope makes an angle of 35° with the horizontal. - The height at the top of the slope is 2.50 m. - The final velocity \( v_f \) at the top of the slope is to be determined. **Question:** Find the skier's final speed at the top of the incline (in m/s), given that the coefficient of friction between the 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.) **Answer Box:** \[ \text{Final Speed:} \ \_\_\_ \, \text{m/s} \] **Additional Materials:** - Reading resource is attached for further reference. **Diagram Explanation:** The diagram shows a skier moving up a slope, highlighting the initial kinetic energy and the various forces acting on the skier. The slope is inclined at 35°, and the rise in elevation is shown as 2.50 m. **Instructions for Solution:** 1. Calculate the distance up the incline using trigonometry. 2. Apply energy conservation and friction work concepts to find the final speed. 3. Consider how the friction coefficient affects the kinetic energy loss. This problem encourages understanding of energy transformation, the effect of friction, and trigonometric applications in physics.
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