Truck brakes can fail if they get too hot. In some mountainous areas, ramps of loose gravel are constructed to stop runaway trucks that have lost their brakes. The combination of a slight upward slope and a large coefficient of rolling friction as the truck tires sink into the gravel brings the truck safely to a halt. Suppose a gravel ramp slopes upward at 6.0° and the coefficient of rolling friction is 0.32. Part A Use work and energy to find the length of a ramp that will stop a 15,000 kg truck that enters the ramp at 35 m/s. Express your answer to two significant figures and include the appropriate units.

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### Understanding Gravel Ramps for Runaway Trucks

In mountainous regions, the overheating of truck brakes can lead to potential failures. To address this, gravel ramps are constructed to stop runaway trucks that have lost their brakes. These ramps use a combination of a slight upward slope and a high coefficient of rolling friction to safely bring the truck to a halt. Specifically, the slope at an angle of 6.0°, combined with a rolling friction coefficient of 0.32, allows the truck tires to sink into the gravel and slow down effectively.

### Problem Overview: Calculating Ramp Length

We are tasked with using work and energy principles to determine the necessary length of a gravel ramp that will stop a 15,000 kg truck entering the ramp at a speed of 35 m/s.

#### Part A
- **Objective:** Express the ramp length in two significant figures with appropriate units.
- **Input:** The initial answer provided is 196.38 m.
- **Feedback:** The response is incorrect, with 5 attempts remaining.

This scenario illustrates the importance of calculations in designing safety systems for heavy vehicles.
Transcribed Image Text:### Understanding Gravel Ramps for Runaway Trucks In mountainous regions, the overheating of truck brakes can lead to potential failures. To address this, gravel ramps are constructed to stop runaway trucks that have lost their brakes. These ramps use a combination of a slight upward slope and a high coefficient of rolling friction to safely bring the truck to a halt. Specifically, the slope at an angle of 6.0°, combined with a rolling friction coefficient of 0.32, allows the truck tires to sink into the gravel and slow down effectively. ### Problem Overview: Calculating Ramp Length We are tasked with using work and energy principles to determine the necessary length of a gravel ramp that will stop a 15,000 kg truck entering the ramp at a speed of 35 m/s. #### Part A - **Objective:** Express the ramp length in two significant figures with appropriate units. - **Input:** The initial answer provided is 196.38 m. - **Feedback:** The response is incorrect, with 5 attempts remaining. This scenario illustrates the importance of calculations in designing safety systems for heavy vehicles.
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