Question

Given: G = 6.67259 × 10−11 N m2/kg2.

Voyagers 1 and 2 surveyed the surface of Jupiter’s moon Io and photographed an active volcano spewing liquid sulfur to heights of 77.5 km above the surface of Io. Io’s mass is 8.9 × 10^22 kg, and its radius is 1820 km.

If the liquid sulfur reaches 77.5 km, calculate the speed with which the liquid sulfur left the volcano. Assume the top of the volcano is very near the surface of Io. Answer in units of m/s.

Answer 1

-GMm/R+0.5mv^2=-GMm/R+h

v=2sqrt[GM(1/R-1/R+h)]

=2sqrt[GMh/r^2]

=734 m/s

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