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# HW00Sol - Jim Guinns PHYS2212 Assignment#0 Solutions 1 How...

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Jim Guinn’s PHYS2212 Assignment #0 Solutions 1. How many significant figures do the following numbers have and explain? a) 1.0x10 4 has two significant figures, the "1" and "0" are both significant in this case. b) 3.240x10 -5 has four significant figures, "3", "2", "4", and "0". c) 0.000023 has two significant figures, "2" and "3", the 0's are not significant in this case. d) 12.7 has three significant figures, "1", "2", and "7". e) 25000 has two significant figures, "2" and "5", the 0's are not significant in this case. 2. What are the results of the following problems? a) 1.2 x 4.475 = 5.4, only two significant figures since "1.2" has two. b) 7.20 x 2.38694832 = 17.2 = 1.72x10 1 , only three significant figures since "7.20" has three. c) 3.567x10 3 x 2.3x10 2 = 8.2x10 5 , only two significant figures since "2.3" has two. d) 3.567x10 3 / 2.3x10 2 = 1.6x10 1 , only two significant figures since "2.3" has two. e) 3.567x10 3 + 2.3x10 2 = 35.67x10 2 + 2.3x10 2 = 38.0x10 2 = 3.80x10 3 , notice that before adding, the numbers must be written with the same exponent of "10". 3. A vector, V , has a magnitude of 3.00m and points at an angle of 23.0 o above the x-axis.

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