question no 36 give answers
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gravitational force = centripetal force
(GMpMj)/(Rp)²=[ Mp(Vp)²]/(Rp) .......(1)
Vp=2πRp/Tp .......(2)
Substituting (2) in (1)
Mj=[4π²(Rp)³]/[G(Tp)²]
=[4π²(4.22x10^8)³]/[(6.67408 × 10-11)/(1.769)²]
=1.9 x 10^27 kg
Mj/Ms=(1.9x 10^27)/(2x10^30)≈10^-3
hence , Ms=10³ Mj
(GMpMj)/(Rp)²=[ Mp(Vp)²]/(Rp) .......(1)
Vp=2πRp/Tp .......(2)
Substituting (2) in (1)
Mj=[4π²(Rp)³]/[G(Tp)²]
=[4π²(4.22x10^8)³]/[(6.67408 × 10-11)/(1.769)²]
=1.9 x 10^27 kg
Mj/Ms=(1.9x 10^27)/(2x10^30)≈10^-3
hence , Ms=10³ Mj
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