The coefficient of static friction between the flat bed of the truck and the crate it carries is 0.37. Determine the minimum stopping distances which the truck can have from a speed of 98 km/h with constant deceleration if the crate is not to slip forward. 010 Answer: s= - 3.0 m

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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### Understanding the Minimum Stopping Distance

The **coefficient of static friction** between the flatbed of the truck and the crate it carries is **0.37**. This is an essential factor in determining whether the crate will slip forward when the truck decelerates. To ensure the crate does not slip, the truck’s stopping distance, denoted as **s**, must be calculated. Here, the truck travels at a speed of **98 km/h** and decelerates at a constant rate.

#### Problem Statement:
**Determine the minimum stopping distance \(s\) which the truck can have from a speed of 98 km/h with constant deceleration if the crate is not to slip forward.**

### Diagram Description
Below the problem statement is a diagram illustrating a truck carrying a crate. The following components and measurements are highlighted:
- **Truck Flatbed**: The surface on which the crate is placed.
- **Crate**: Positioned on the flatbed.
- **Measurement Arrow**: Indicating a distance of **3.0 meters** from the starting point. This distance can relate to the position of the crate on the flatbed.

### Solution:
To compute the minimum stopping distance \(s\), you will apply the principles of physics related to friction and motion. Here, the steps would involve:
1. **Convert Speed**: Transform 98 km/h to meters per second (m/s).
2. **Apply Friction Formula**: Use the coefficient of friction to calculate the maximum deceleration without slipping.
3. **Calculate Stopping Distance**: Use the stopping distance formula considering the deceleration derived from static friction.

**Formula Overview:**
\[ \text{Stopping Distance (s)} = \frac{v^2}{2a} \]
Where:
- \(v\) is the initial velocity (m/s)
- \(a\) is the deceleration which relates to the frictional force.

### Answer Input:
**Answer: \(s\) =** [Input box for submitting the answer]
- The units for stopping distance \(s\) should be in meters.

By following these steps and understanding the diagram, you can calculate the necessary stopping distance to prevent the crate from slipping forward.
Transcribed Image Text:### Understanding the Minimum Stopping Distance The **coefficient of static friction** between the flatbed of the truck and the crate it carries is **0.37**. This is an essential factor in determining whether the crate will slip forward when the truck decelerates. To ensure the crate does not slip, the truck’s stopping distance, denoted as **s**, must be calculated. Here, the truck travels at a speed of **98 km/h** and decelerates at a constant rate. #### Problem Statement: **Determine the minimum stopping distance \(s\) which the truck can have from a speed of 98 km/h with constant deceleration if the crate is not to slip forward.** ### Diagram Description Below the problem statement is a diagram illustrating a truck carrying a crate. The following components and measurements are highlighted: - **Truck Flatbed**: The surface on which the crate is placed. - **Crate**: Positioned on the flatbed. - **Measurement Arrow**: Indicating a distance of **3.0 meters** from the starting point. This distance can relate to the position of the crate on the flatbed. ### Solution: To compute the minimum stopping distance \(s\), you will apply the principles of physics related to friction and motion. Here, the steps would involve: 1. **Convert Speed**: Transform 98 km/h to meters per second (m/s). 2. **Apply Friction Formula**: Use the coefficient of friction to calculate the maximum deceleration without slipping. 3. **Calculate Stopping Distance**: Use the stopping distance formula considering the deceleration derived from static friction. **Formula Overview:** \[ \text{Stopping Distance (s)} = \frac{v^2}{2a} \] Where: - \(v\) is the initial velocity (m/s) - \(a\) is the deceleration which relates to the frictional force. ### Answer Input: **Answer: \(s\) =** [Input box for submitting the answer] - The units for stopping distance \(s\) should be in meters. By following these steps and understanding the diagram, you can calculate the necessary stopping distance to prevent the crate from slipping forward.
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