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EQUATIONS Kinematics Waves Quantum Mechanics and Nuclear Physics Vaye = Ad d = vit - bar T = 2x1K m = = -di AE = Amc- E = pc At do AV d = Vetvi p 2 T = 2x Vg + + AA = mc(1 - cos9) d = vi+ tai V = v. + 2ad T = sine1 = 12 VI 1 1 sine2 = V2 Trigonometry and Geometry la = = Any 72 sind = opposite Line v = fa A = d sine hypotenuse m =- Av Ax Dynamics adjacent F net f = lvivifs a = xd COSO = y= mx + b Gm,m2 hypotenuse a = in tang - opposite Area 181 = Gm Electricity and Magnetism adjacent Rectangle = /w F, = -ke 8 = 711 F. = 19 192 AV = AE c2 = a?+ 62 9 Triangle = zab a b C Circle = 7/2 Momentum and 1 =4 sin A sin B sin C Energy c2 = 02 + b- - 2ab cos C Circumference p = mv Ex = - mv- E = a Circle = 2ar FAt = MAD Ep = mgh El = AV Graphing Calculator Window Format w = Fl la|cose Ep = KX Atomic Physics W = AE y: Ly min> >max' )'sell W = hfo E = hf = hc P = W Ek axle stop N = No()Work must be shown for all questions. This means the following should be included in each of your answers: (A) Chosen formula (s) rearranged to find the missing variable (B) Substitution of values (including the units) into the rearranged formula(s) (C) Final answer with units (and direction, if necessary) to the proper number of significant digits 1. The G Key below middle C on a piano keyboard vibrates with a frequency of 390Hz. Determine the period of vibration. 3 marks. 2. Determine the period of a simple pendulum having a length of 80cm. 3 marks.3. A 0.600m long pendulum is used to determine the acceleration due to gravity on a distant planet. If 20 complete oscillations are found to require 35.5s, what is the acceleration? 4 marks. 4. A 110g mass on a spring oscillates on a frictionless horizontal surface with a period of 0.60s and an amplitude of 18.0cm. Determine the: (A) Spring constant. 4 marks. Maximum spring potential energy of the system. 4 marks. Maximum speed of the mass. 4 marks.5. An experiment is performed using a spring to determine its constant. The mass on the end of a vertically hanging spring is manipulated while the period of oscillation responds. The following data is collected. Mass (kg) Period T(s) T2 ($2) 0.0300 0.241 0.0400 0.285 0.0500 0.312 0.0600 0.368 0.0700 0.375 Calculate the value of T2 in the 3rd column and then use the data in columns 1 and 3 to plot a straight line graph. I suggest you use EXCEL to plot the graph. Use the slope of the line to determine the value of the spring constant k. 6 marks