Bri R.
asked • 12/17/20college physics question multiple choice
An exotic planet Vogsphere is known to have a mass that is 1/81 that of the Earth and a radius 0.25 that of the Earth. Astrophysicist Trillian built a rocket and decided to leave the planet and never to return. Given that the escape speed from the Earth is 11.2 km/s, with what speed must Trillian achieve his goal?
(a) 2.5 km/s
(b) 4.0 km/s
(c) 5.6 km/s
(d) 8.7 km/s
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1 Expert Answer
Escape velocity(VEE) on earth is √(2GME/rE)
Escape velocity(VEV) on Vogsphere is √(2GMV/rV)
VEV/VEE = √(MVrE/MErV) = .√((1/81)(1/.25) )= 2/9
Escape velocity(VEV) = 11.2 km/s * 2/9 =2.5km/s
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Stanton D.
Trillian: *her* goal. Read up on "Hitchhiker's Guide to the Galaxy".... Grav potential well ~ -GmM/r. So U ratio ~ 4/81 ~ 1/20 ~ (v^2)ratio so must do 11.2*(20)^0.5 ~ 2.5 km/s12/18/20