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a) Use formula for time period of the pendulum: T = 2π*sqrt(L/g) Make L the subject of formula: L = g* (T/2π)^2 At earth, g=9.8m/s^2; you want T=2 so substituting it in the formula above: L = 9.8*(2/2π)^2 = 0.99 m =99cmFor Mars, do the same as above, just put g=3.7 instead of 9.8. L = 3.7*(2/2π)^2 = 0.37 m =37cmb) Use spring formula: T = 2π*SQRT(m/k) Make m the subject of formula: m = k*(T/2π)^2 For both earth and mars, k=10 so the answer will the same for both planets. m = 10 * (2/2π)^2 = 1.01 Kg
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