(11%) Problem 13: A planet has a mass of M, a radius of Ry, and a density of O). A second planet has a mass of M2, a radius of R2, and a density of 02. This problem will explore the relationships between the surface gravities (87 and 82) of the planets depending on the relative sizes of their masses, radii, and densities. A 25% Part (a) Assume that planet 2 has X times the mass of planet 1, or M2 = XM). The densities of both planets are the same. Write an expression for the ratio of the surface gravity of planet 2 to planet 1 in terms of X. Grade Summary 82/81 = -1 Deductions 0% Potential 100% HOME Submissions Attempts remaining: 5 (2% per attempt) detailed view END VO BACKSPACE CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 4 Feedback: 0% deduction per feedback. A 25% Part (b) Suppose now the radius of the second planet is Y times the size of the radius of the first planet, or R7 = YR). Write an expression for the ratio of the surface gravities, 82/8, in terms of Y assuming the densities are the same. 425% Part (C) Suppose now M2 = 9M, and Q2 = 90. What is the ratio of 82/8, now (here we want the actual number; because you are writing a ratio, the number will be unitless)? A 25% Part (d) Now suppose R2 = 10R and O2 = 100. Find the ratio of 82/8, (again as a number and again the number will be unitless).