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1. The leg bones of one animal are twice as strong as those of another closely re- lated animal of similar shape. (a) What would you expect to be the ratio of these animals' heights? (b) What would you expect to be the ratio of their weights?

1. The leg bones of one animal are twice as strong as those of another closely re- lated animal of similar shape. (a) What would you expect to be the ratio of these animals' heights? (b) What would you expect to be the ratio of their weights?

Human Anatomy & Physiology (11th Edition)
Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
Section: Chapter Questions
Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...
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Questions and Problems 1. The leg bones of one animal are twice as strong as those of another closely re- lated animal of similar shape. (a) What would you expect to be the ratio of these animals' heights? (b) What would you expect to be the ratio of their weights? CHAPTER 1 Introduction 2. A hummingbird must eat very frequently and even then must have a highly con- centrated form of food, such as sugar. What does the concept of scaling tell you about the size of a hummingbird? 3. About how many Lilliputians would it take to equal the mass of one citizen of Brobdingnag? 4. The total surface area of a rectangular solid is the sum of the areas of the six faces. If each dimension of a given rectangular solid is doubled, what effect does this have on the total surface area? 5. A hollow metal sphere has a wall thickness of 2 cm. If you increase both the diam- eter and thickness of this sphere so that the overall volume is three times the orig- inal overall volume, how thick will the shell of the new sphere be? 6. If your height and all your other dimensions were doubled, by what factor would this change (a) your weight? (b) the ability of your leg bones to support your weight? 7. An elephant of mass 4.0 X 103 kg consumes 3.4 x 102 times as much food as a guinea pig of mass 0.70 kg. They are both warm-blooded, plant-eating, similarly shaped animals. Find the ratio of their surface areas, which is approximately the ratio of their heat losses, and compare it with the ratio of food consumed. 8. A rectangular water tank is supported above the ground by four pillars 5.0 m long whose diameters are 20 cm. If the tank were made 10 times longer, wider, and deeper, what diameter pillars would be needed? How much more water would the tank hold? 9. How many state maps of scale 1:1 000 000 would you need to cover the state with those maps?
Transcribed Image Text:Questions and Problems 1. The leg bones of one animal are twice as strong as those of another closely re- lated animal of similar shape. (a) What would you expect to be the ratio of these animals' heights? (b) What would you expect to be the ratio of their weights? CHAPTER 1 Introduction 2. A hummingbird must eat very frequently and even then must have a highly con- centrated form of food, such as sugar. What does the concept of scaling tell you about the size of a hummingbird? 3. About how many Lilliputians would it take to equal the mass of one citizen of Brobdingnag? 4. The total surface area of a rectangular solid is the sum of the areas of the six faces. If each dimension of a given rectangular solid is doubled, what effect does this have on the total surface area? 5. A hollow metal sphere has a wall thickness of 2 cm. If you increase both the diam- eter and thickness of this sphere so that the overall volume is three times the orig- inal overall volume, how thick will the shell of the new sphere be? 6. If your height and all your other dimensions were doubled, by what factor would this change (a) your weight? (b) the ability of your leg bones to support your weight? 7. An elephant of mass 4.0 X 103 kg consumes 3.4 x 102 times as much food as a guinea pig of mass 0.70 kg. They are both warm-blooded, plant-eating, similarly shaped animals. Find the ratio of their surface areas, which is approximately the ratio of their heat losses, and compare it with the ratio of food consumed. 8. A rectangular water tank is supported above the ground by four pillars 5.0 m long whose diameters are 20 cm. If the tank were made 10 times longer, wider, and deeper, what diameter pillars would be needed? How much more water would the tank hold? 9. How many state maps of scale 1:1 000 000 would you need to cover the state with those maps?
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