In: Physics
Jupiter's moon Io has active volcanoes (in fact, it is the most volcanically active body in the solar system) that eject material as high as 500 km (or even higher) above the surface. Io has a mass of 8.93×10^22 kg and a radius of 1821 km.
How high would this material go on earth if it were ejected with the same speed as on Io?
(RE = 6370 km, mE=5.96×10^24 kg)
I got the answer 91.5 km, but it is incorrect and says "Your answer suggests that you have assumed constant gravitational acceleration over the whole height of the ejected debris. Note that gravitational field changes quite significantly over this height."
Thank you!
Calculation of height reached by volcanic eruption on Earth from data given for the same in Io ,a satellite of Jupiter