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posted by  Anonymous on 9/4/2008 3:02:51 AM  |  status: Live  

Applications of the Equations of Motion

Course Textbook Chapter Problem
Quantum Physics Physics (2nd) by Walker 2 66
Question Details:
The first active volcano observed outside the Earth was discovered in 1979 on Io, one of the moons of Jupiter.  The volcano 2.00 x 105 m.  Given that the acceleration of gravity on Io is 1.80 m/s2, find the initial velocity of the ejected material.

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posted by Antony08 on 9/4/2008 4:45:29 AM  |  status: Live
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Response Details:
We know from the relation
v2 - u2 = 2aS
Here,v = 0,a = 1.80 m/s2 and S = 2.00 * 105 m
or - u2 = 2aS
or - u = (2aS)1/2
or u = -(2aS)1/2 = - (2 * 1.80 * 2.00 * 105)1/2
or u = - 848 m/s
The negative sign indicates that the velocity of the ejected material is opposite to the direction of the acceleration due to gravity.
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