Wrecking balls are used to demolish old buildings. A 720 kg steel ball is suspended from a 10-m-long cable on a crane. A hook on the crane slowly pulls the ball back, then releases it. The ball's speed at the lowest point in its arc, just before striking the building, is 4.5 m/s. At the lowest point in the ball's arc, O the tension in the cable is less than mg because the ball is moving down. O the tension in the cable is equal to mg because tension and gravity are the only forces and they balance. O the tension in the cable is greater than mg because there has to be a net upward force. Submit Part B Request Answer What is the tension in the cable when the ball is at its lowest point? Express your answer with the appropriate units. ▸ View Available Hint(s) Submit HA T= Value Units ?

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
Section: Chapter Questions
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**Topic: Mechanics of a Wrecking Ball**

Wrecking balls are used to demolish old buildings. Consider a 720 kg steel ball suspended from a 10-meter-long cable on a crane. A hook on the crane slowly pulls the ball back and then releases it. The ball’s speed at the lowest point in its arc, just before striking the building, is 4.5 m/s.

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**Part A: Conceptual Question**

At the lowest point in the ball’s arc:

- The tension in the cable is less than \( mg \) because the ball is moving down.
- The tension in the cable is equal to \( mg \) because tension and gravity are the only forces and they balance.
- The tension in the cable is greater than \( mg \) because there has to be a net upward force.

**Action:** Submit your answer and request a detailed explanation if needed.

---

**Part B: Calculation Question**

What is the tension in the cable when the ball is at its lowest point? Express your answer with the appropriate units.

- **Hint Available:** A hint is accessible to help guide you through the process of determining the tension in the cable.

**Equation Field:**

\[ T = \text{Value} \ \text{Units} \]

**Action:** Input your calculated value and submit your answer for verification.

--- 

This exercise involves understanding the dynamics of forces acting on a wrecking ball and calculating the tension in the supporting cable based on the given conditions.
Transcribed Image Text:**Topic: Mechanics of a Wrecking Ball** Wrecking balls are used to demolish old buildings. Consider a 720 kg steel ball suspended from a 10-meter-long cable on a crane. A hook on the crane slowly pulls the ball back and then releases it. The ball’s speed at the lowest point in its arc, just before striking the building, is 4.5 m/s. --- **Part A: Conceptual Question** At the lowest point in the ball’s arc: - The tension in the cable is less than \( mg \) because the ball is moving down. - The tension in the cable is equal to \( mg \) because tension and gravity are the only forces and they balance. - The tension in the cable is greater than \( mg \) because there has to be a net upward force. **Action:** Submit your answer and request a detailed explanation if needed. --- **Part B: Calculation Question** What is the tension in the cable when the ball is at its lowest point? Express your answer with the appropriate units. - **Hint Available:** A hint is accessible to help guide you through the process of determining the tension in the cable. **Equation Field:** \[ T = \text{Value} \ \text{Units} \] **Action:** Input your calculated value and submit your answer for verification. --- This exercise involves understanding the dynamics of forces acting on a wrecking ball and calculating the tension in the supporting cable based on the given conditions.
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