Question

The first active volcano observed outside the Earth was discovered in 1979 on Io, one of the moons of Jupiter. The volcano was observed to be ejecting material to a height of about 3.00 E5 m. Given that the acceleration of gravity on Io is 1.80 m/s2, find the initial velocity of the ejected material.

Answer 1

1039.23 m/s

Step-by-step explanation:

Given:

Height, H = 3 x 10⁵m

acceleration of gravity on lo, a = 1.80 m/s² toward moon's surface i.e -1.80m/s² with respect to the earth

Now, at its highest point the velocity i.e the final velocity 'v' = 0m/s.

Now using the Newton's equation of motion

v² - u² =2as

where,

v = final velocity

u = initial velocity

a = acceleration

s = distance

now,

substituting the values we get

0²-u² = 2 × (-1.80) × 3 x 10⁵

or

`u=√(10.8* 10^5)=1039.23m/s`

Hence, the initial velocity with which the material is ejected is 1039.23 m/s