1. A small block of mass m slides without friction around a loop apparatus shown below. A 4R R В Let R = 11.5 m m = 4,5 kg

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Chapter1: Units, Trigonometry. And Vectors
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A small block of mass m slides without friction around a loop apparatus shown below.

(a) If the block starts at rest at point A, what is its speed at B?

(b) What is the force of the track on the block at point B?

 

### Problem 1: Loop-the-Loop Dynamics

A small block of mass \( m \) slides without friction around a loop apparatus as shown in the diagram.

#### Diagram Explanation

- **Block A**: The block starts from the top at point A.
- **Height at A**: The height is denoted as \( 4R \).
- **Loop**: The loop has a radius \( R \).
- **Block B**: Represents the block inside the loop.

#### Given Values

- Radius \( R = 11.5 \, \text{m} \)
- Mass \( m = 4.5 \, \text{kg} \)

This setup is used to study the principles of energy conservation and dynamics of circular motion as the block travels from a higher potential energy point through kinetic energy at various points of the loop.
Transcribed Image Text:### Problem 1: Loop-the-Loop Dynamics A small block of mass \( m \) slides without friction around a loop apparatus as shown in the diagram. #### Diagram Explanation - **Block A**: The block starts from the top at point A. - **Height at A**: The height is denoted as \( 4R \). - **Loop**: The loop has a radius \( R \). - **Block B**: Represents the block inside the loop. #### Given Values - Radius \( R = 11.5 \, \text{m} \) - Mass \( m = 4.5 \, \text{kg} \) This setup is used to study the principles of energy conservation and dynamics of circular motion as the block travels from a higher potential energy point through kinetic energy at various points of the loop.
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