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 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 . safely to a halt. Suppose a gravel ramp slopes upward at 6.0° and the coefficient of rolling friction is 0.32. Express your answer to two significant figures and include the appropriate units.

College Physics
11th Edition
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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**Concept on Truck Ramps and Energy**

Truck brakes can fail if they overheat. In mountainous areas, ramps made of loose gravel are often constructed to safely stop runaway trucks that have lost their brakes. These ramps use the combination of a slight upward slope and a large coefficient of rolling friction to bring the truck to a halt, as the truck tires sink into the gravel.

**Problem Scenario**

For instance, consider a gravel ramp with an upward slope of \(6.0^\circ\) and a coefficient of rolling friction of 0.32. 

**Part A: Problem**

Calculate the length of a ramp required to stop a 15,000 kg truck that enters the ramp at a speed of 35 m/s using principles of work and energy. 

**Instructions**

1. **Use Work and Energy**: Apply the work-energy principle to find the necessary ramp length.
2. **Express Your Answer**: Provide your answer to two significant figures and include appropriate units.

**Input Area**

- **Text Fields**: Provide the calculated value and specify the units.

**Submission**

- Click "Submit" to provide your answer.
- To request assistance or a solution, use the "Request Answer" feature.
Transcribed Image Text:**Concept on Truck Ramps and Energy** Truck brakes can fail if they overheat. In mountainous areas, ramps made of loose gravel are often constructed to safely stop runaway trucks that have lost their brakes. These ramps use the combination of a slight upward slope and a large coefficient of rolling friction to bring the truck to a halt, as the truck tires sink into the gravel. **Problem Scenario** For instance, consider a gravel ramp with an upward slope of \(6.0^\circ\) and a coefficient of rolling friction of 0.32. **Part A: Problem** Calculate the length of a ramp required to stop a 15,000 kg truck that enters the ramp at a speed of 35 m/s using principles of work and energy. **Instructions** 1. **Use Work and Energy**: Apply the work-energy principle to find the necessary ramp length. 2. **Express Your Answer**: Provide your answer to two significant figures and include appropriate units. **Input Area** - **Text Fields**: Provide the calculated value and specify the units. **Submission** - Click "Submit" to provide your answer. - To request assistance or a solution, use the "Request Answer" feature.
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