Gravitational Potential Energy Video Lessons

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# Problem: 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 8.93×1022 kg and a radius of 1821 km. For this calculation, ignore any variation in gravity over the 500-km range of the debris.A. How high would this material go on earth if it were ejected with the same speed as on Io?Express your answer to three significant figures and include the appropriate units.

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###### Problem Details

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 8.93×1022 kg and a radius of 1821 km. For this calculation, ignore any variation in gravity over the 500-km range of the debris.

A. How high would this material go on earth if it were ejected with the same speed as on Io?

Express your answer to three significant figures and include the appropriate units.

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Gravitational Potential Energy concept. You can view video lessons to learn Gravitational Potential Energy. Or if you need more Gravitational Potential Energy practice, you can also practice Gravitational Potential Energy practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Parkin's class at COLUMBIA.