Asked by jean
A) What is the minimum speed, relative to the Sun, necessary for a spacecraft to escape the solar system if it starts at the Earth's orbit?
B) Voyager I achieved a maximum speed of 125 000 km/h on its way to photograph Jupiter. Beyond what distance from the Sun is this speed sufficient to escape the solar system?
so for part A I used the equation...
V(esc)=square root of (2*G*M(earth))/(distance from the earth to the sun) is that right?
and i don't understand how to do the second part.
The escape velocity from Earth's orbit into interstellar space is 42 km/sec.
Source:
http://science.jrank.org/pages/3756/Kepler-s-Laws-Applications-generalized-forms-Kepler-s-laws.html
For you other question try:
http://en.wikipedia.org/wiki/Escape_velocity#Calculating_an_escape_velocity
If no help repost that question and a physics expert probably will get it tomorrow.
On both parts, start with the PE due to Sun
PE= INT Force*dx from inf to r, For the A, r will be Earth orbit radius, and for B), r will be the unknown.
INT GMs*M/r^2 dr= GMs*M/r
Set that equal to 1/2 GMv^2 in the first, with r= rearth orbit.
In Part A) This will change what Mass is in the equation.
In part B)
you know the KE, set that equal to GMs/r and solve for r.
B) Voyager I achieved a maximum speed of 125 000 km/h on its way to photograph Jupiter. Beyond what distance from the Sun is this speed sufficient to escape the solar system?
so for part A I used the equation...
V(esc)=square root of (2*G*M(earth))/(distance from the earth to the sun) is that right?
and i don't understand how to do the second part.
The escape velocity from Earth's orbit into interstellar space is 42 km/sec.
Source:
http://science.jrank.org/pages/3756/Kepler-s-Laws-Applications-generalized-forms-Kepler-s-laws.html
For you other question try:
http://en.wikipedia.org/wiki/Escape_velocity#Calculating_an_escape_velocity
If no help repost that question and a physics expert probably will get it tomorrow.
On both parts, start with the PE due to Sun
PE= INT Force*dx from inf to r, For the A, r will be Earth orbit radius, and for B), r will be the unknown.
INT GMs*M/r^2 dr= GMs*M/r
Set that equal to 1/2 GMv^2 in the first, with r= rearth orbit.
In Part A) This will change what Mass is in the equation.
In part B)
you know the KE, set that equal to GMs/r and solve for r.
Answers
There are no human answers yet.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.