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5 November, 18:36

Astronomers have discovered several volcanoes on io, a moon of jupiter. one of them, named loki, ejects lava to a maximum height of 2.00 â 105 m. suppose another volcano on a different moon ejected lava at a height of 1.89 â 105 m where the acceleration of gravity is 1.72 m/s2.

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  1. 5 November, 18:41
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    The question seems to be incomplete. However, I can think of a possible logical question this problem could have. The equation for the maximum height attained by any object thrown upwards is:

    H = v²/2g

    I think the question would be determining the gravity in Io assuming that the initial velocity of the lava is the same. Then, the solution is as follows:

    Let's use the other volcano to find v.

    1.89*10⁵ m = v²/2 (1.72 m/s²)

    Solving for v,

    v = 806.325 m/s

    So, we use this to find g in Io.

    2*10⁵ m = (806.325) ²/2 (g)

    Solving for g,

    g = 1.6254 m/s²
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