A bead of massm = 5.30 kg is released from point A and slides on the frictionless track as shown in the figure below. The height of A is h, = 5.10 m. 3.20 m 2.00 m (a) Determine the bead's speed at pbints B and C. point B m/s 8.4 point Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four- digit accuracy to minimize roundoff error. m/s (b) Determine the net work done by the force of gravity in moving the bead from A to C. 141.12 Your response differs from the correct answer by more than 10%. Double check your calculations. I

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**Educational Website Content: Physics Problem on Energy Conservation and Work**

**Problem Description:**

A bead of mass \( m = 5.30 \, \text{kg} \) is released from point A and slides on a frictionless track as shown in the figure below. The height of A is \( h_A = 5.10 \, \text{m} \).

**Diagram Explanation:**

The diagram depicts a track with varying heights. The bead starts at point A at a height of 5.10 meters and moves through points B and C on the track. The distances between the points are provided: + A complex track structure is shown with elevation changes.

**Questions:**

(a) **Determine the bead's speed at points B and C.**

- **Point B Speed:**
  - Input provided: \( \text{8.4 m/s} \)
  - Feedback: "Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error."

- **Point C Speed:**
  - (Input and feedback were not provided for Point C.)

(b) **Determine the net work done by the force of gravity in moving the bead from A to C.**

- Input provided: \( 141.12 \, \text{J} \)
- Feedback: "Your response differs from the correct answer by more than 10%. Double-check your calculations."

**Instructions:**

Carefully apply energy conservation principles and work-energy theorem to solve the problem, ensuring all calculations maintain four-digit accuracy to minimize errors. Double-check any discrepancies in answers, particularly where feedback indicates variations from expected results.
Transcribed Image Text:**Educational Website Content: Physics Problem on Energy Conservation and Work** **Problem Description:** A bead of mass \( m = 5.30 \, \text{kg} \) is released from point A and slides on a frictionless track as shown in the figure below. The height of A is \( h_A = 5.10 \, \text{m} \). **Diagram Explanation:** The diagram depicts a track with varying heights. The bead starts at point A at a height of 5.10 meters and moves through points B and C on the track. The distances between the points are provided: + A complex track structure is shown with elevation changes. **Questions:** (a) **Determine the bead's speed at points B and C.** - **Point B Speed:** - Input provided: \( \text{8.4 m/s} \) - Feedback: "Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error." - **Point C Speed:** - (Input and feedback were not provided for Point C.) (b) **Determine the net work done by the force of gravity in moving the bead from A to C.** - Input provided: \( 141.12 \, \text{J} \) - Feedback: "Your response differs from the correct answer by more than 10%. Double-check your calculations." **Instructions:** Carefully apply energy conservation principles and work-energy theorem to solve the problem, ensuring all calculations maintain four-digit accuracy to minimize errors. Double-check any discrepancies in answers, particularly where feedback indicates variations from expected results.
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