A skier starts from rest at the top of a hill. The skier coasts down the hill and up a second hill, as the drawing illustrates. The crest of the second hill is circular, with a radius of 31.5 m. Neglect friction and air resistance. What must be the height h of the first hill so that the skier just loses contact with the snow at the crest of the second hill?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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pls help not in scientific notation pls
### Problem Description

A skier starts from rest at the top of a hill. The skier coasts down the hill and up a second hill, as the drawing illustrates. The crest of the second hill is circular, with a radius of 31.5 m. Neglect friction and air resistance. What must be the height \( h \) of the first hill so that the skier just loses contact with the snow at the crest of the second hill?

#### Diagram Description

The diagram shows a profile view of two hills. The first hill is sloped downward, and the second hill slopes upwards with the crest forming the top of a circle. A skier is positioned at the top of the first hill, ready to descend. The second hill's crest shows a circular arc with a radius of 31.5 meters.

### Input Fields

- **Number**
  - **Units**: Specify the units for the height \( h \).

### Features

- **eTextbook and Media**: Additional resources for reference.
- **Hint**: Option to view a hint to solve the problem.
- **Save for Later**: Save the problem for future attempts.
- **Attempts**: Records the number of attempts used (0 of 3 used).
- **Submit Answer**: Button to submit the calculated height for assessment.

### Instructions

1. Calculate the necessary height \( h \) using principles of energy conservation and dynamics.
2. Enter the calculated height in the provided input field.
3. Select appropriate units for the calculation.
4. Submit your answer using the 'Submit Answer' button.
5. Utilize available hints and resources if needed.

This exercise helps in understanding the application of physics principles to solve real-world problems involving motion and forces.
Transcribed Image Text:### Problem Description A skier starts from rest at the top of a hill. The skier coasts down the hill and up a second hill, as the drawing illustrates. The crest of the second hill is circular, with a radius of 31.5 m. Neglect friction and air resistance. What must be the height \( h \) of the first hill so that the skier just loses contact with the snow at the crest of the second hill? #### Diagram Description The diagram shows a profile view of two hills. The first hill is sloped downward, and the second hill slopes upwards with the crest forming the top of a circle. A skier is positioned at the top of the first hill, ready to descend. The second hill's crest shows a circular arc with a radius of 31.5 meters. ### Input Fields - **Number** - **Units**: Specify the units for the height \( h \). ### Features - **eTextbook and Media**: Additional resources for reference. - **Hint**: Option to view a hint to solve the problem. - **Save for Later**: Save the problem for future attempts. - **Attempts**: Records the number of attempts used (0 of 3 used). - **Submit Answer**: Button to submit the calculated height for assessment. ### Instructions 1. Calculate the necessary height \( h \) using principles of energy conservation and dynamics. 2. Enter the calculated height in the provided input field. 3. Select appropriate units for the calculation. 4. Submit your answer using the 'Submit Answer' button. 5. Utilize available hints and resources if needed. This exercise helps in understanding the application of physics principles to solve real-world problems involving motion and forces.
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