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OCR M2 A level maths June 2015 question 8

  1. In circular motion F = mv2/rPlug numbers in ... 6 = 0.4* v2 / 0.6 ... and rearrange for v = plus or minus 3. Velocity is a vector so it doesn't matter which value you take as it will go round the same cylinder.2) Two simultaneous equations with Va and VbFirst comes from the restitution coefficient: 3(0.35) = Vb - Va ... and second comes from conservation of momentum:(0.4) Va + (0.5)Vb = (3)0.4 ... these equations give you Va = 0.75 and Vb = 1.83) Pythagorus with vertical and horizontal: (4.92-(0.4g)2)1/2= 2.94 = mw2*r ... w = 0.35
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