Once I went skiing. I was at the bottom of a snow ramp with a speed of 14.0 m/s. Assuming that the coefficient of friction between the snow and the skis was 0.2 determine my speed at the top of the ramp. The angle theta with the horizontal was 25°. The rise of the snow ramp was h=3.5 meters high. h Skier

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### Physics Problem: Ski Ramp 

**Question 7**

Once I went skiing. I was at the bottom of a snow ramp with a speed of 14.0 m/s. Assuming that the coefficient of friction between the snow and the skis was 0.2, determine my speed at the top of the ramp. The angle theta with the horizontal was 25°. The rise of the snow ramp was h = 3.5 meters high.

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#### Diagram Description:
1. **Skier Block**: The diagram shows a block labeled "Skier" positioned at the bottom of an inclined ramp.
2. **Incline Details**: 
   - The ramp forms an angle \( \theta \) (theta) of 25° with the horizontal level.
   - The top of the ramp has a vertical height \( h \) of 3.5 meters.
3. **Vector**: A downward vector is depicted, representing the direction of kinetic friction affecting the skier.
4. **Coordinate System**: A labeled ground coordinate with horizontal and vertical axes.

To solve this problem, principles of energy conservation and work done by friction can be applied. The work done by friction, changes in kinetic energy, and potential energy will determine the skier's final speed at the top of the ramp.

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This problem highlights the application of physics principles such as energy conservation, work, and effects of friction. Using these principles, one can determine the speed at various points on the ramp, taking into account the given frictional coefficient and physical dimensions of the ramp.

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Transcribed Image Text:--- ### Physics Problem: Ski Ramp **Question 7** Once I went skiing. I was at the bottom of a snow ramp with a speed of 14.0 m/s. Assuming that the coefficient of friction between the snow and the skis was 0.2, determine my speed at the top of the ramp. The angle theta with the horizontal was 25°. The rise of the snow ramp was h = 3.5 meters high. --- #### Diagram Description: 1. **Skier Block**: The diagram shows a block labeled "Skier" positioned at the bottom of an inclined ramp. 2. **Incline Details**: - The ramp forms an angle \( \theta \) (theta) of 25° with the horizontal level. - The top of the ramp has a vertical height \( h \) of 3.5 meters. 3. **Vector**: A downward vector is depicted, representing the direction of kinetic friction affecting the skier. 4. **Coordinate System**: A labeled ground coordinate with horizontal and vertical axes. To solve this problem, principles of energy conservation and work done by friction can be applied. The work done by friction, changes in kinetic energy, and potential energy will determine the skier's final speed at the top of the ramp. --- This problem highlights the application of physics principles such as energy conservation, work, and effects of friction. Using these principles, one can determine the speed at various points on the ramp, taking into account the given frictional coefficient and physical dimensions of the ramp. ---
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