Physics (AS & A Level) · May / June 2018 · Paper 43 · Question 1

1. gravitational force equals/is centripetal force GMm / R2 = mRω2 and ω = 2π / T or Gm / R2 = mv2 / R and v = 2πr / T or GMm / R2 = mR (2π / T) 2 convincing algebra leading to k = GM / 4π2 2. correct use of R3 / T2 for one planet (c gives 3.54 × 1021;

e and g both give 3.56 × 1021) 3.5(5) × 1021 = (6.67 × 10–11 × M) / 4π2 M = 2.1 × 1033 kg two or three values of R3 / T2 correctly calculated and used in a valid way to find a value for M based on more than one k