Answer the following questions. 1. You measure an angle to be 0 = 33.1 0.4. What is sin 0 dsin? (Hint: Convert to radians first.) 2. You want to create a resistance of approximately 9002 using three resistors in series that have resistances of 300, 200, and 400. Each resistance has an uncertainty of SR = 102. The formula for combined resistance using three resistors is Rcomb = R + R + R3. What is the uncertainty of Rcomb? 3. You are asked to predict a quantity X by using the formula X = Ay/22. The value of A is a well known constant of 2.489 x 106W/m, while the values of y and z are measured to be y = 2.3 0.2m and z = 8.64 0.08m. What should be your prediction of X, including the uncertainty, based on these measurements? 4. You attach a mass, M, to a string that is wrapped around a pulley with moment of inertia I and radius R. Then you measure the height of the mass as a function of time as the mass falls, unwinding the string around the pulley. By solving Newton's Laws, you find the relationship between the moment of inertia and the measurable quantities of the experiment is I = (g/a-1) MR. The acceleration of the mass determined by graphing the data is found to be a = 1.6 0.2m/s when a mass of 0.56 0.01kg is attached to a pulley with radius 0.15 0.01m. The acceleration due to gravity is 9.81m/s2 and can be treated as a known constant without uncertainty. Based on this information, what value should you state is the measured moment of inertia of the pulley?