NOTE: Your answer suggests that you have assumed constant gravitational
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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 8.93×1022kg 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? (REarth = 6370 km, mEartg=5.96×1024kg)
NOTE: Your answer suggests that you have assumed constant gravitational acceleration over the whole height of the ejected debris. Note that the gravitational field changes quite significantly over this height.
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