You are visiting your cousins for Christmas in New Hampshire where it is freezing. They are crazy. They get the idea to spray water on the roof so it will become very slippery enabling you all to slide off of it in a sled (metal box). The frozen water on the roof has essentially removed all friction. If the angle of the roof is 20 degrees with respect to the horizontal, and (starting from rest) you slide for a distance of 5 meters before reaching the edge, and if the edge of the roof is 6 meters above the ground, how far from the edge will you travel in the x direction before you hit the ground? g = 9.8 m/s?
You are visiting your cousins for Christmas in New Hampshire where it is freezing. They are crazy. They get the idea to spray water on the roof so it will become very slippery enabling you all to slide off of it in a sled (metal box). The frozen water on the roof has essentially removed all friction. If the angle of the roof is 20 degrees with respect to the horizontal, and (starting from rest) you slide for a distance of 5 meters before reaching the edge, and if the edge of the roof is 6 meters above the ground, how far from the edge will you travel in the x direction before you hit the ground? g = 9.8 m/s?
College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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
Transcribed Image Text:**Scenario: Sliding off a Roof with Minimal Friction**
Imagine you're visiting your cousins in New Hampshire during Christmas, where the weather is freezing. They come up with an adventurous idea to spray water on the roof, making it incredibly slippery. This allows you to slide off of it using a sled, essentially a metal box.
Due to the frozen water on the roof, friction is almost completely eliminated.
**Problem Statement**
Given:
- The roof is inclined at an angle of 20 degrees with respect to the horizontal.
- You start from rest and slide a distance of 5 meters before reaching the roof's edge.
- The roof's edge is 6 meters above the ground.
Task:
Calculate the horizontal distance you will travel from the edge of the roof before hitting the ground.
**Additional Information**
- Gravitational acceleration, \( g = 9.8 \, \text{m/s}^2 \).
**Diagram Explanation**
The diagram depicts a figure on the edge of a sloped roof. The slope is at a 20-degree angle, with a person preparing to slide off. The roof itself is 6 meters above the ground level. The challenge is to determine how far the person will travel horizontally upon leaving the roof.
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