For a car traveling with speed v around a banked curve of radius r a) Draw a force diagram for the car and indicate a useful coordinate system for finding the centripetal force. b) Using the
labels from your free body diagram, write Newton's second law equations for the x and y
directions. From those equations determine a formula for the angle at which a road should be
banked so that no friction is required. c) What is this angle for an expressway off-ramp curve
of radius 154 ft at a design speed of 24.7 mph? (Note: 1 ft= 30.48 cm, 1 mi = 1.609 km, 1
hr= 60 min. 1 min= 60 s)

Acommon technique in analysis of scientific data is normalization. the purpose of normalizing data is to eliminate irrelevant constants that can obscure the salient features of the data. the goal of this experiment is to test the hypothesis that the flux of light decreases as the square of the distance from the source. in this case, the absolute value of the voltage measured by the photometer is irrelevant; only the relative value conveys useful information. suppose that in part 2.2.2 of the experiment, students obtain a signal value of 162 mv at a distance of 4 cm and a value of 86 mv at a distance of 5.7 cm. normalize the students' data to the value obtained at 4 cm. (divide the signal value by 162.) then calculate the theoretically expected (normalized) value at 5.7 cm.