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With 6 weeks left and the whole syllabus for the SAT II Math 2 Subject Test to be covered, I felt hopeless and stressed. Thanks to my tutor’s enthusiasm and positive energy, I got over the fear and managed to learn the whole syllabus in 6 weeks! The tutor explained things thoroughly and made the classes fun. He always made sure I understood everything. Thank you so much - I wouldn't have been able to do it without you!
(a) Define gravitational field strength. ................................................................................................................................... ................................................................................................................................... ................................................................................................................................... (2) (b) The gravitational field strength at the surface of Jupiter is 25 N kg–1 and the radius of Jupiter is 7.1 ´ 107 m. (i) Derive an expression for the gravitational field strength at the surface of a planet in terms of its mass M, its radius R and the gravitational constant G. ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... (2) (ii) Use your expression in (b)(i) above to estimate the mass of Jupiter. ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... (2) (Total 6 marks)