When a space satellite orbits the earth, the force, f newtons (n), attracting it towards the center of the earth is inversely proportional to the square of its distance, r meters (m), from the center of the earth. (I) Express F in terms of R and a constant k
(ii) Find the value of k if F = 50 N when R = 32 m
(iii) Find the distance when the force is 512 N
(Iv) Draw the graph of F against R2. (Hint: r2 should go to 1200 and F should go to 600.)