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Unformatted text preview: kaplan (hmk378) Homework 1 Weathers (17104) 1 This printout should have 9 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points The mass of the planet Saturn is 5 . 64 10 26 kg and its radius is 6 10 7 m. Calculate its density. Correct answer: 623 . 357 kg / m 3 . Explanation: Let : M = 5 . 64 10 26 kg and R = 6 10 7 m . Assuming Saturn to be a sphere (neglecting the rings), we can use the formula for the volume of a sphere of radius R : V = 4 3 R 3 . The density of Saturn is = M V = M 4 3 R 3 = 3 (5 . 64 10 26 kg) 4 (6 10 7 m) 3 = 623 . 357 kg / m 3 . 002 10.0 points This problem shows how dimensional analysis helps us check and sometimes even find a formula. A rope has a cross section A = 8 . 13 m 2 and density = 1800 kg / m 3 . The linear density of the rope , defined to be the mass per unit length, can be written in the form = x A y . Based on dimensional analysis, determine the powers x and y by choosing an expression below. 1. = A 2. = 1 A 2 3. = A 2 4. = A 2 5. = A correct 6. = A 2 7. = 1 A 8. = A 2 9. = A 10. = A 2 2 Explanation: Kilogram (kg): a unit of mass ( M ). Meter (m): a unit of length ( L ). [ x ] means the units of x . The units of both sides of any equation must be the same for the equation to make sense....
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 Fall '08
 Weathers
 mechanics, Mass, Work

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