Problem 76P

An Extraterrestrial Volcano The first active volcano observed outside the Earth was discovered in 1979 on lo, one of the moons of Jupiter. The volcano was observed to be ejecting material to a height of about 2.00 x 105 m,Given that the acceleration of gravity on lo is 1.80 m/s2, find the initial velocity of the ejected material.

Solution 76P

Step 1 of 1

We have to find the initial velocity of the ejected material from an active volcano on the moon Io which was ejected to a height of 2105 m and whose acceleration of gravity is 1.80 m/s2.

The initial velocity of the ejected material from an active volcano can be found using the equation of motion for a freely falling object.

where,

final velocity = 0 m

1.80 m/s2

m

Thus,

Solving for

= 848.52 m/s

Therefore, the velocity of the ejected material is 848.52 m/s.