403_Physics ProblemsTechnical Physics

403_Physics ProblemsTechnical Physics - 405 Chapter 13...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Chapter 13 405 P13.61 (a) At infinite separation U = 0 and at rest K = 0. Since energy of the two-planet system is conserved we have, 0 1 2 1 2 11 2 22 2 12 =+− mv Gm m d (1) The initial momentum of the system is zero and momentum is conserved. Therefore, 0 =− (2) Combine equations (1) and (2): vm G dm m 2 = + bg and G m 21 2 = + Relative velocity vv v Gm m d r − = + 2 (b) Substitute given numerical values into the equation found for v 1 and v 2 in part (a) to find v 1 4 103 10 . m s and v 2 3 258 10 . m s Therefore, Km v 1 23 2 1 2 107 10 == × . J and v 2 1 1 2 267 10 × J P13.62 (a) The net torque exerted on the Earth is zero. Therefore, the angular momentum of the Earth is conserved; mr v mr v aa pp = and vv r r ap p a = F H G I K J F H G I K J 3027 10
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online