For this problem, assuming the following: - an ant's mass is proportional to its volume; -...

 

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For this problem, assuming the following: - an ant's mass is proportional to its volume; - an ant's strength is proportional to the cross-sectional area of its body; - an ant's volume is proportional to the cube of its length; and an ant's cross-sectional area is proportional to the square of its length. A typical ant is about 2 mm long, has a mass of about 0.004 grams, and can carry 5000 times its own body mass. Suppose that such an ant is exposed to a science fiction lazer beam, and is enlarged to a length of 50 feet. What is the mass of this terrible ant? How much can this giant insect carry? What does this say about the possibility of the existence of giant insects? For this problem, assuming the following: - an ant's mass is proportional to its volume; - an ant's strength is proportional to the cross-sectional area of its body; - an ant's volume is proportional to the cube of its length; and an ant's cross-sectional area is proportional to the square of its length. A typical ant is about 2 mm long, has a mass of about 0.004 grams, and can carry 5000 times its own body mass. Suppose that such an ant is exposed to a science fiction lazer beam, and is enlarged to a length of 50 feet. What is the mass of this terrible ant? How much can this giant insect carry? What does this say about the possibility of the existence of giant insects?

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uwen Mass Strength Volume d a 2 Volume L 50 feet c 1 Cross sectional Area L b ... View the full answer