Several volcanoes have been observed erupting on the surface of one of Jupiter\'

Question

Several volcanoes have been observed erupting on the surface of one of Jupiter's closest maons. Suppose that material ejected from one af these volcanoes reaches a height of 4.B5 km after being projected straight upward with an initial speed of 138 mys. Given that the radius of this particular moon is 1800 km, calculate its mass. (in kg) hat the A: 8.15x1022|| B: g.54x1022| ?2x 1023 023| E: 1.53x 1023| F: 1.7g×1023| G: 2.09x1022|| 09x102 H: 2.45 H: 2.45x1023 C: 1. : 1.31x1 Submit Arnswer Tries 03

Explanation / Answer

Using Energy conservation

KEi + PEi = KEf + PEf

PEi = 0 and KEf = 0

0.5*m*V^2 = m*g*h

g = V^2/(2*h)

g = 138^2/(2*4.85*10^3)

g = 1.96 m/sec^2

Now gravity is also given by:

g = GM/R^2

M = g*R^2/G

M = 1.96*(1800*10^3)^2/(6.67*10^-11)

M = 9.52*10^22 kg

Correct option is B,

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