Chapter 13405P13.61(a)At infinite separation U=0 and at rest K=0. Since energy of the two-planet system isconserved we have,0121211222212=+−mvGm md(1)The initial momentum of the system is zero and momentum is conserved.Therefore, 0=−(2)Combine equations (1) and (2):vmGdmm2=+bgandGm212=+Relative velocity vv vGmmdr− =+2(b)Substitute given numerical values into the equation found for v1and v2in part (a) to findv14103 10=×.m sandv23258 10. msTherefore,Kmv123212107 10==×.Jandv2112267 10×JP13.62(a)The net torque exerted on the Earth is zero. Therefore, the angular momentum of the Earthis conserved;mr vmr vaapp=and vvrrappa=FHGIKJFHGIKJ3027 10
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .