Answer all the questions in the spaces provided. 1 (a) State Newton's law of gravitation. (b) A distant star is orbited by several planets. Each planet has a circular orbit with a different radius. (i) Each planet orbits at constant speed. Explain whether the planets are in equilibrium. (ii) The radius of the orbit of a planet is R and the orbital period is T. Data for some of the planets are given in Fig. 1.1. planet R/m T²/s² c 9.6 x 10^10 2.5 x 10^11 e 4.0 x 10^11 1.8 x 10^13 g 2.1 x 10^12 2.6 x 10^15 [Figure 1.1] The relationship between R and T is given by the expression R³ = kT².
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