ch44_p30 - 30. (a) Letting v(r ) = Hr ve = 2G M r , we get...

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Unformatted text preview: 30. (a) Letting v(r ) = Hr ve = 2G M r , we get M r 3 H 2 2G . Thus, = M 3 M 3H 2 = . 4 r 2 3 4 r 3 8G (b) The density being expressed in H-atoms/m3 is equivalent to expressing it in terms of 0 = mH/m3 = 1.67 1027 kg/m3. Thus, 3 ( 0.0218 m s ly ) 1.00 ly 9.460 1015 m H atoms m3 3H 2 3 H atoms m = = 8G 0 8 6.6710-11 m3 kg s 2 1.67 10-27 kg m3 ( ) 2 ( ( )( )( 2 ) ) = 5.7 H atoms m3 . ...
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