A metallic box begins at rest at point 1 at a height of 5R, where R is the radius of the circular part of the track. The box slides down the frictionless track and around the loop. If the box has a gravitational weight of 80 N, what is the magnitude of the normal force acting on the box at point 2?

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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A metallic box begins at rest at point 1 at a height of 5R, where R is the radius of the circular part of the track. The box slides down the frictionless track and around the loop. If the box has a gravitational weight of 80 N, what is the magnitude of the normal force acting on the box at point 2?

 

 

The diagram illustrates a particle moving along a path from point 1 to point 2. This path consists of a vertical drop followed by a circular loop.

1. **Vertical Drop:**
   - The drop from point 1 is measured as a vertical height of \(5R\), where \(R\) is a reference unit length.
   
2. **Circular Loop:**
   - After the drop, the path continues into a circular loop with a radius \(R\).
   - The direction of motion along the circular path is indicated by an arrow pointing clockwise.

This diagram can be used to explore concepts in physics such as gravitational potential energy, conservation of energy, and dynamics of circular motion. The transition from a vertical drop to a loop represents a change in kinetic and potential energy, and the forces involved can be analyzed using principles of classical mechanics.
Transcribed Image Text:The diagram illustrates a particle moving along a path from point 1 to point 2. This path consists of a vertical drop followed by a circular loop. 1. **Vertical Drop:** - The drop from point 1 is measured as a vertical height of \(5R\), where \(R\) is a reference unit length. 2. **Circular Loop:** - After the drop, the path continues into a circular loop with a radius \(R\). - The direction of motion along the circular path is indicated by an arrow pointing clockwise. This diagram can be used to explore concepts in physics such as gravitational potential energy, conservation of energy, and dynamics of circular motion. The transition from a vertical drop to a loop represents a change in kinetic and potential energy, and the forces involved can be analyzed using principles of classical mechanics.
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