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HW1 - 97.7 - Nguyen Phan Homework 1 Due 4:00 am Inst V...

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Nguyen, Phan – Homework 1 – Due: Jan 27 2004, 4:00 am – Inst: V Kaplunovsky 1 This print-out should have 24 questions, check that it is complete. Multiple-choice questions may continue on the next column or page: find all choices before making your selection. The due time is Central time. 001 (part 1 of 1) 10 points One cubic meter (1.0 m 3 ) of aluminum has a mass of 2700 kg, and a cubic meter of iron has a mass of 7860 kg. Find the radius of a solid aluminum sphere that has the same mass as a solid iron sphere of radius 2 . 2 cm. Answer in units of cm. 002 (part 1 of 1) 10 points Consider the following set of equations, where s , s 0 , x and r have units of length, t has units of time, v has units of velocity, g and a have units of acceleration, and k is dimensionless. Which one is dimensionally incorrect ? 1. a = g + kv t + v 2 s 0 2. t = v a + x v 3. s = s 0 + vt + v 2 a 4. t = k r s g + a v 5. v 2 = 2 as + ksv t 003 (part 1 of 2) 10 points Stokes law says F = 6 πrηv. F is a force, r the radius and v the velocity. The parameter η has the dimension of 1. [ η ] = M T L 2. [ η ] = T 2 L 2 M 3. [ η ] = M T L 2 4. [ η ] = T M 5. [ η ] = T 2 L M 6. [ η ] = M T 7. [ η ] = M T 2 L 2 8. [ η ] = M T 2 L 9. [ η ] = T L M 10. [ η ] = T L 2 M 004 (part 2 of 2) 10 points Consider a simple pendulum which consists of a string with a bob attached to its end. Its period, ( i.e. , the time interval taken for the bob to complete one cycle of motion), may be written in the form T = k m x g y b z , where k is a dimensionless constant, g the magnitude of the gravitational acceleration, m the mass of the bob, and b the length of the string. The appropriate x , y , and z values are given respectively by 1. ( x, y, z ) = 1 , 1 2 , - 1 2 2. ( x, y, z ) = 0 , - 1 2 , - 1 2 3. ( x, y, z ) = 1 , - 1 2 , 1 2 4. ( x, y, z ) = 0 , - 1 2 , 1 2 5. ( x, y, z ) = 0 , 1 2 , - 1 2 6. ( x, y, z ) = 1 , - 1 2 , - 1 2 7. ( x, y, z ) = (1 , - 1 , 1) 8. ( x, y, z ) = 0 , 1 2 , 1 2 9. ( x, y, z ) = (0 , - 1 , 1)
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Nguyen, Phan – Homework 1 – Due: Jan 27 2004, 4:00 am – Inst: V Kaplunovsky 2 10. ( x, y, z ) = 1 , 1 2 , 1 2 005 (part 1 of 1) 10 points
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