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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

In terms of saving energy, bicycling and walking are far more efficient means of transportation than is travel by automobile. For example, when riding at 10.0 mi/h, a cyclist uses food energy at a rate of about 400 kcal/h above what he would use if he were merely sitting still. (In exercise physiology, power is often measured in kcal/h rather than in watts. Here, 1 kcal = 1 nutritionist’s Calorie = 4 186 J.) Walking at 3.00 mi/h requires about 220 kcal/h. It is interesting to compare these values with the energy consumption required for travel by car. Gasoline yields about 1.30 × 108 J/gal. Find the fuel economy in equivalent miles per gallon for a person (a) walking and (b) bicycling.

(a)

To determine
The fuel economy in equivalent miles per gallon for a person who is walking.

Explanation

Given Info:

220kcal/h is required for walking 3.0mi/h

1kcal is equal to 4186J

Gasoline yields 1.30×108J/gal

When the person walks 3.0mile , the quantity of gasoline which could furnish the energy used for walking is,

V1=Ew1.30×108J/gal       (I)

  • Ew is the energy used by the person for walking a 3.0mile distance

Formula to calculate the fuel economy of the walker is,

Fe=3.0miV1       (II)

On substituting equation (I) in (II),

Fe=3

(b)

To determine
The fuel economy in equivalent miles per gallon for a person who is bicycling.

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