Homework Set #2 Phys 1140, Fall 2008 Due Wed., Sept. 17, at 5 pm, in the homework box in the 1140 lab, in your TA’s mailbox. Suggested readings: Taylor, pp 57-66. Beware: anywhere in Taylor you find something described as a “provisional rule”, just ignore it. We won’t be using it in this course. 1) (9 points) Assume the errors in x and y are uncorrelated. For each example below, w= x +y. Express w and w in standard format. a) x = 13.1 +/- 0.8 m y = 12.0 +/- 0.8 m b) x = (3.0 +/- 0.2) x 10-4 kg m/s y = (1.5 +/- 0.6) x 10-6 kg m/s c) x = 8 +/- 1 V y = 15 +/- 5 V 2 (9 points) Assume the errors in x and y are uncorrelated. For each example below, w= x -y. Express w and w in standard format. a) x= 20.73 +/- 0.04 kg y =40.196 +/- 0.008 kg b) x = (6.4 +/- 0.5) x 104 m/s y = (2.7 +/- 0.6) x 104 m/s c) x = 4250 +/- 500 m y = 4320 +/- 900 m 3) (4 points) f() = 30 sin Volts = 1.00 +/- 0.04 radians. f =? 4) (4 points) g(t) = e -3t Amps t = 0.600 +/- 0.005 g =?