8. MY NOTES PRACTICE ANOTHER What average mechanical power (in W) must a 76.5 kg mountain climber generate to climb to the summit of a hill of height 285 mi in 41.0 min? Note: Due to inefficiencies in converting chemical energy to mechanical energy, the amount calculated here is only a fraction of the power that must be produced by the climber's body. HINT DETAILS SERCP11 5.7.P.051. W ASK YOUR TEACHER

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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**Exercise 8: Mechanical Power and Climbing**

**Problem Statement:**
A mountain climber weighing 76.5 kg needs to climb to the summit of a hill with a height of 285 m within 41.0 minutes. The task is to calculate the average mechanical power (in watts) the climber must generate. Note that because of inefficiencies in converting chemical energy to mechanical energy, the calculated amount is only a fraction of the power produced by the climber's body.

**Input:**
- Weight of the climber: 76.5 kg
- Height of the climb: 285 m
- Time: 41.0 minutes

**Hint:**
- Enter the calculated power in watts (W).

**Exercise 9: Energy and Weight Loss**

**Problem Statement:**
A student assesses a weight loss program through the calculation of the number of climbs needed up a 15.0 m high flight of stairs to lose one pound (0.45 kg) of fat. Metabolizing 1.00 kg of fat releases 3.77 x 10^7 joules of chemical energy, and the body can convert approximately 21.4% of this energy into mechanical energy.

**Part (a):**
- Calculate how much mechanical energy (in joules, J) the body can produce from 0.450 kg of fat.

**Part (b):**
- Compute the number of trips the student (weighing 52.0 kg) must make up the steps to lose 0.450 kg of fat, disregarding the energy needed for descending the stairs.

**Exercise 10: Work and Forces on an Uphill Slope**

**Problem Statement:**
A truck moves uphill with a constant velocity on a highway inclined at 6.5 degrees. A 45-kg package is placed on the floor in the back of the truck, experiencing a static frictional force preventing it from sliding. The question is to determine various work interactions as the truck covers a distance of 325 m.

**Part (a):**
- What is the net work done on the package? (Enter in joules, J)

**Part (b):**
- What is the work done on the package by the force of gravity? (Enter in joules, J)

**Part (c):**
- What is the work done on the package by the normal force? (Enter in joules, J)

**
Transcribed Image Text:**Exercise 8: Mechanical Power and Climbing** **Problem Statement:** A mountain climber weighing 76.5 kg needs to climb to the summit of a hill with a height of 285 m within 41.0 minutes. The task is to calculate the average mechanical power (in watts) the climber must generate. Note that because of inefficiencies in converting chemical energy to mechanical energy, the calculated amount is only a fraction of the power produced by the climber's body. **Input:** - Weight of the climber: 76.5 kg - Height of the climb: 285 m - Time: 41.0 minutes **Hint:** - Enter the calculated power in watts (W). **Exercise 9: Energy and Weight Loss** **Problem Statement:** A student assesses a weight loss program through the calculation of the number of climbs needed up a 15.0 m high flight of stairs to lose one pound (0.45 kg) of fat. Metabolizing 1.00 kg of fat releases 3.77 x 10^7 joules of chemical energy, and the body can convert approximately 21.4% of this energy into mechanical energy. **Part (a):** - Calculate how much mechanical energy (in joules, J) the body can produce from 0.450 kg of fat. **Part (b):** - Compute the number of trips the student (weighing 52.0 kg) must make up the steps to lose 0.450 kg of fat, disregarding the energy needed for descending the stairs. **Exercise 10: Work and Forces on an Uphill Slope** **Problem Statement:** A truck moves uphill with a constant velocity on a highway inclined at 6.5 degrees. A 45-kg package is placed on the floor in the back of the truck, experiencing a static frictional force preventing it from sliding. The question is to determine various work interactions as the truck covers a distance of 325 m. **Part (a):** - What is the net work done on the package? (Enter in joules, J) **Part (b):** - What is the work done on the package by the force of gravity? (Enter in joules, J) **Part (c):** - What is the work done on the package by the normal force? (Enter in joules, J) **
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