Study Guide 12, Self Test 2

© Department of Physics, University of Guelph

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1. A taxidermist has to mount two similarly shaped fish, of mass 8.0 and 27 kg. How many times longer than the short one is the long one?
 

2. Two steel spheres are to be painted. One has 8 times the mass of the other. What is the ratio of the amount of paint required to cover the large one to the amount required to cover the small one? Note that since the spheres have the same density, the larger one must be 8 times the volume of the smaller one. The paint layer would have the same thickness on both spheres.
 

3. Suppose one developed a "super-cow" having a body mass (excluding the contribution of the legs) 4.0 times that of a normal cow. In order to provide the same relative support,
 

(a) how much larger would the cross-sectional area of super-cow's legs have to be?
 

(b) how much larger would the leg diameter have to be?
 

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