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1-4, 1-14, 1-22 - 1-4 Calculate the gravitational constant...

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Unformatted text preview: 1-4 Calculate the gravitational constant g, in SI units, for a location on the surface of the Hun. SOLUTION G- I -11H I so! = '2: = 6'673 10 é’QEO) 1° = 0.2741(103} 1/52 a 274 m/s2 Ana- r. [6.960(10 )] 1-14* Determine the weight H of a satellite when it is in orbit 20.2(106) m above the surface of the earth if the satellite weighs 8450 N at the surface. SOLUTION From Eq. (1-3): Fro. Table 1-1: 6.371(106) n r0 + h = 6.371(106) + 20.2(106) = 26.571t10‘) n W Z 5 2 are = 8450l6.371(10 )1 = Z rh [26.511t1o‘)12 485.8 N B 486 N Ans. 1-22 A neutron star has a I833 of 21103“) kg and a diameter of 10(103) n. Determine the gravitational force of attraction on a 10-kg space probe 6 (a) When it is 10 n from the center of the star. (b) At the instant of impact with the surface of the star. SOLUTION -11 30 (a) F = 5'673‘10 612}(2 1° ’ = 133.46(107) N a 1335:10‘) N :10 ) -11 30 (bl F = 6'673(1° "io’;2 ‘10 ’ = 5.338(10‘3) N a 53.4(10‘2) N Ans. {5:10 )1 ...
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