A rock of mass m = 0.68 kg is attached to a massless string of length L = 0.67 m. The rock is swung in a vertical circle faster and faster up to a speed of v= 2.8 m/s, at which time the string breaks. This occurs when the string is horizontal as shown in the figure. Break L

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Chapter1: Units, Trigonometry. And Vectors
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 A) How high, in meters, does the rock travel? Use a value of h = 0 at the location of the break.
h  

b) What is the magnitude of the tension, in newtons, at which the string breaks? 

Tf=

### Physics of Circular Motion: Problem Example

#### Problem Description:
A rock of mass \( m = 0.68 \) kg is attached to a massless string of length \( L = 0.67 \) m. The rock is swung in a vertical circle faster and faster up to a speed of \( v = 2.8 \) m/s, at which time the string breaks. This occurs when the string is horizontal, as shown in the figure.

#### Diagram Explanation:
The figure depicts a rock attached to a string being swung in a vertical circular motion. Key points include:

- **Rock and String Setup:** The rock is shown attached to the end of a string.
- **Circular Path:** The rock moves along a circular path, indicated by a dashed line forming a circle.
- **String Break Point:** A specific point where the string breaks is clearly marked on the diagram. This point is horizontal with respect to the circle’s center.
- **Velocity Vector:** An arrow indicates the direction in which the rock is moving at the moment the string breaks, showing the instantaneous speed of 2.8 m/s.

This visualization aids in understanding the application of forces in circular motion and analyzing the conditions that lead to the string breaking.
Transcribed Image Text:### Physics of Circular Motion: Problem Example #### Problem Description: A rock of mass \( m = 0.68 \) kg is attached to a massless string of length \( L = 0.67 \) m. The rock is swung in a vertical circle faster and faster up to a speed of \( v = 2.8 \) m/s, at which time the string breaks. This occurs when the string is horizontal, as shown in the figure. #### Diagram Explanation: The figure depicts a rock attached to a string being swung in a vertical circular motion. Key points include: - **Rock and String Setup:** The rock is shown attached to the end of a string. - **Circular Path:** The rock moves along a circular path, indicated by a dashed line forming a circle. - **String Break Point:** A specific point where the string breaks is clearly marked on the diagram. This point is horizontal with respect to the circle’s center. - **Velocity Vector:** An arrow indicates the direction in which the rock is moving at the moment the string breaks, showing the instantaneous speed of 2.8 m/s. This visualization aids in understanding the application of forces in circular motion and analyzing the conditions that lead to the string breaking.
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