Io, a satellite of Jupiter, is the most volcanically active moon or planet in th

Question

Io, a satellite of Jupiter, is the most volcanically active moon or planet in the solar system. It has volcanoes that send plumes of matter over 500kmhigh (see the accompanying figure). Due to the satellite's small mass, the acceleration due to gravity on Io is only 1.81m/s2 , and Io has no appreciable atmosphere. Assume that there is no variation in gravity over the distance traveled

1. What must be the speed of material just as it leaves the volcano to reach an altitude of 350km ?

Express your answer using two significant figures.

____ m/s

2. If the gravitational potential energy is zero at the surface, what is the potential energy for a 21kg fragment at its maximum height (500km ) on Io?

Express your answer using two significant figures.

____ J

3. How much would this gravitational potential energy be if it were at the same height above earth?

Express your answer using two significant figures

___ J

Io, a satellite of Jupiter, is the most volcanically active moon or planet in the solar system. It has volcanoes that send plumes of matter over 500kmhigh (see the accompanying figure). Due to the satellite's small mass, the acceleration due to gravity on Io is only 1.81m/s2 , and Io has no appreciable atmosphere. Assume that there is no variation in gravity over the distance traveled 1. What must be the speed of material just as it leaves the volcano to reach an altitude of 350km ? Express your answer using two significant figures. ____ m/s 2. If the gravitational potential energy is zero at the surface, what is the potential energy for a 21kg fragment at its maximum height (500km ) on Io? Express your answer using two significant figures. ____ J 3. How much would this gravitational potential energy be if it were at the same height above earth? Express your answer using two significant figures ___ J

Explanation / Answer

a)Conserving energy,

0.5mv^2=mgh

v=sqrt(2gh)=sqrt(2*1.81*350000)=1125.6m/s

b)U=mgh=21*1.81*500000J=1.9*10^7J

c)U=mgh=21*9.81*500000J=1.0*10^8J

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.