Q 1. The total mass of a variable density rod is given by P(1)A_(x) т where m = mass, p(x) = density, A.(r) = cross-sectional area, r = distance along the rod, and L = the total length of the rod. Determine the mass in grams to the best possible accuracy for the following data, measured for a 20m length rod. 8 10 12 14 16 18 20 P, g/cm³ 4.00 5.8 3.95 6.9 3.80 3.74 5.6 3.55 3.41 6.7 3.30 I, m 2 4 6 Ae, cm? 120 102| 103 116| 110 114 120 130 133 126 150

Dr. Brown has built a 94 cm pendulum and pulled the pendulum 25° from vertical and then measured the period of 30 consecutive swings. The data is shown below. How do you interpret the uncertainties involved in this data? Period of Dr. Brown's pendulum Period of swing (s) 1.98 1.978 1.976 1.974 1.972 1.97 1.968 1.966 1.964 0 10 20 Number of swings since release 30 O Some random effect lowers the period of the pendulum by about 0.01 s in between the first and last data point. O The random uncertainty starts large (approximately 0.03 s) but decreases quickly until it is immeasureably small by the end of the data set. O Some systematic effect lowers the period of the pendulum by about 0.01 s in between the first and last data point. O The systematic uncertainty starts large (approximately 0.01 s) but decreases quickly until it immeasurably small by the end of the data set.

plz ansswer q1 part e velocity is in km/h  not in m/s