ex. The escape velocity at the surface of the earth is approximately 8 km/s. What is the escape velocity for a planet whose radius is 4 times and whose mass is 100 times that of earth?

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Chapter1: Units, Trigonometry. And Vectors
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IIIIIIIty (11ee nom the pull of gravity)
surface of the earth
An object would have to have enough kinetic energy to equal the
potential energy at infinity.
Ek = Epg
1/2 m v2 = G m¡m2r
rearranging for v:
v = /2 Gmr
ex. The escape velocity at the surface of the earth is approximately
8 km/s. What is the escape velocity for a planet whose radius is 4
times and whose mass is 100 times that of earth?
Transcribed Image Text:IIIIIIIty (11ee nom the pull of gravity) surface of the earth An object would have to have enough kinetic energy to equal the potential energy at infinity. Ek = Epg 1/2 m v2 = G m¡m2r rearranging for v: v = /2 Gmr ex. The escape velocity at the surface of the earth is approximately 8 km/s. What is the escape velocity for a planet whose radius is 4 times and whose mass is 100 times that of earth?
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