Can you please provide a complete solution set to this problem?    A rollercoaster car is traveling on a track and approaching a loopped portion of track. What is the minimum speed needed at the bottom of the loop to clear the loop? The diameter is 15 meters.

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Can you please provide a complete solution set to this problem? 

 

A rollercoaster car is traveling on a track and approaching a loopped portion of track. What is the minimum speed needed at the bottom of the loop to clear the loop? The diameter is 15 meters. 

 

**Transcription of Image for Educational Website:**

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**Problem Statement:**

Find the minimum speed needed to clear the loop. Diameter is 15.

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**Diagram Explanation:**

The diagram shows a loop with a diameter labeled as 15 units. There is a horizontal line at the bottom, which appears to represent the ground or a reference line. An arrow is drawn inside the loop, pointing upwards, illustrating the direction of motion needed to clear the loop.

**Key Concept:**

When determining the minimum speed required to clear a loop, the critical point is at the top of the loop. Here, gravity acts downwards, and the centripetal force required to maintain circular motion must be achieved for the object to stay on the path.
Transcribed Image Text:**Transcription of Image for Educational Website:** --- **Problem Statement:** Find the minimum speed needed to clear the loop. Diameter is 15. --- **Diagram Explanation:** The diagram shows a loop with a diameter labeled as 15 units. There is a horizontal line at the bottom, which appears to represent the ground or a reference line. An arrow is drawn inside the loop, pointing upwards, illustrating the direction of motion needed to clear the loop. **Key Concept:** When determining the minimum speed required to clear a loop, the critical point is at the top of the loop. Here, gravity acts downwards, and the centripetal force required to maintain circular motion must be achieved for the object to stay on the path.
Expert Solution
Step 1

Diameter of the loop, D = 15 m

Physics homework question answer, step 1, image 1

For minimum velocity

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