A. How fast is she traveling at that instant in time?

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B. Ignoring friction, what would the scale read at the bottom of the loop (at B)?

**Explanation:**
This question involves analyzing the forces acting on an object at the bottom of a loop in a physics problem, typically related to circular motion. 

To solve this, consider the following:

1. **Centripetal Force:** At the bottom of the loop, the centripetal force required for circular motion is maximum due to the gravitational force and the additional support force from the track or surface.

2. **Normal Force:** The reading on the scale would typically be the normal force exerted on the object by the loop’s surface. This force contributes to the centripetal force required to maintain circular motion.

3. **Weight of the Object:** The force due to gravity acts downward. At the bottom of the loop, this force is added to the normal force required for the object’s circular motion.

Thus, the scale reading is influenced by the sum of the weight of the object and the additional force needed to maintain circular motion at point B.
Transcribed Image Text:B. Ignoring friction, what would the scale read at the bottom of the loop (at B)? **Explanation:** This question involves analyzing the forces acting on an object at the bottom of a loop in a physics problem, typically related to circular motion. To solve this, consider the following: 1. **Centripetal Force:** At the bottom of the loop, the centripetal force required for circular motion is maximum due to the gravitational force and the additional support force from the track or surface. 2. **Normal Force:** The reading on the scale would typically be the normal force exerted on the object by the loop’s surface. This force contributes to the centripetal force required to maintain circular motion. 3. **Weight of the Object:** The force due to gravity acts downward. At the bottom of the loop, this force is added to the normal force required for the object’s circular motion. Thus, the scale reading is influenced by the sum of the weight of the object and the additional force needed to maintain circular motion at point B.
### Problem 3: Understanding Forces on a Roller Coaster Loop

A physics student takes a scale onto the roller coaster, places it on the seat, and sits on it to take a ride. The scale reads her weight, 600 N, when she is at rest. While going around the loop with a radius of \( R = 7.5 \, \text{m} \), she looks down and sees that the scale reads 300 N as she passes through the top of the loop (at point A).

**Diagram Explanation:**

- The diagram features a vertical loop of a roller coaster track.
- Point A is labeled at the top of the loop.
- Point B is labeled at the bottom of the loop.
- Point C is an arbitrary point on the loop between A and B.
- The loop is circular with a designated radius of 7.5 meters.

**Question:**

A. How fast is she traveling at that instant in time when she is at the top of the loop (at point A)? 

This problem involves understanding vertical circular motion, centripetal force, and apparent weight changes due to these forces. Consider the concepts of gravitational force and centripetal acceleration to calculate the speed at point A.
Transcribed Image Text:### Problem 3: Understanding Forces on a Roller Coaster Loop A physics student takes a scale onto the roller coaster, places it on the seat, and sits on it to take a ride. The scale reads her weight, 600 N, when she is at rest. While going around the loop with a radius of \( R = 7.5 \, \text{m} \), she looks down and sees that the scale reads 300 N as she passes through the top of the loop (at point A). **Diagram Explanation:** - The diagram features a vertical loop of a roller coaster track. - Point A is labeled at the top of the loop. - Point B is labeled at the bottom of the loop. - Point C is an arbitrary point on the loop between A and B. - The loop is circular with a designated radius of 7.5 meters. **Question:** A. How fast is she traveling at that instant in time when she is at the top of the loop (at point A)? This problem involves understanding vertical circular motion, centripetal force, and apparent weight changes due to these forces. Consider the concepts of gravitational force and centripetal acceleration to calculate the speed at point A.
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