Question

A satellite of mass m,revolving in a circular orbit of r around the earth of mass m has magnitude of total energy



e.Then its angular momentum will be??

Answer 1



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Q)

 

A satellite of mass msms revolving in a circular orbit of radius rsrs round the earth of mass M has a total energy E. Then its angular momentum will be

(a)(2Emsr2s)1/2(b)(2Emsr2s)(c)(2Emsrs)1/2(d)2Emsrs(a)(2Emsrs2)1/2(b)(2Emsrs2)(c)(2Emsrs)1/2(d)2Emsrs



A)

 

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Velocity VsVs of the satellite is given by

GMmsr2s=nsv2srsGMmsrs2=nsvs2rs

vs=(GMrs)−−−−−−−√vs=(GMrs)

KE=12msvs=12KE=12msvs=12ms(GMns)ms(GMns)

PE=−GMmsrsPE=−GMmsrs

EE Total energy =KE+PE=KE+PE-----(1)

=−GMms2rs=−GMms2rs

Angular momentum

L=msvsrsL=msvsrs

=ms(GMrs)1/2=ms(GMrs)1/2rsrs

=(GMm2srs)1/2=(GMms2rs)1/2

Substituting from (1)

L=(2Emsr2s)1/2L=(2Emsrs2)1/2

Hence a is the correct answer