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# solution2_pdf - arellano(aa39398 Homework 1 Weathers(17101...

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arellano (aa39398) – Homework 1 – Weathers – (17101) 1 This print-out should have 9 questions. Multiple-choice 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 about 5 . 64 × 10 26 kg and its radius 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), V = 4 3 π R 3 , so the density of Saturn is ρ = M V = M 4 3 π R 3 = 3 (5 . 64 × 10 26 kg) 4 π (6 × 10 7 m) 3 = 623 . 357 kg / m 3 . 002 10.0 points A rope has a cross section A = 9 . 66 m 2 and density ρ = 1690 kg / m 3 . The linear density of the rope μ , defined to be the mass per unit length, can be written in the form μ = ρ x A y . Based on dimensional analysis, determine the powers x and y by choosing an expression below. 1. μ = ρ A 2 2. μ = 1 ρ A 3. μ = A ρ 4. μ = A ρ 2 5. μ = 1 ρ A 2 6. μ = ρ A 2 7. μ = A 2 ρ 2 8. μ = ρ A 9. μ = A 2 ρ 10. μ = ρ A correct Explanation: [ x ] means ”the units of x ”.

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solution2_pdf - arellano(aa39398 Homework 1 Weathers(17101...

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