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anonymous

  • 5 years ago

The orbit of the planet Pluto is and ellipse with the sun at one focus. The maximum distance between the sun and Pluto is 7,375 km, and the minimum distance is is 4,425 km. How far (in millions of km) is it across Pluto's orbit at its widest point? a) 5,900 b) 11,425 c) 11,800 d) 5,712.65

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  1. anonymous
    • 5 years ago
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    what do u mean by the widest point?

  2. anonymous
    • 5 years ago
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    I guess Pluto's furthest orbit form the sun. I'm not 100% sure, that's all the question says.

  3. anonymous
    • 5 years ago
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    if u draw an ellipse then the point of maximum distance from one of the focus would be the farthest point on orbit

  4. anonymous
    • 5 years ago
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    A little confusing. How would this be done?

  5. anonymous
    • 5 years ago
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    i can help u find out the equation of the elliptical path though

  6. anonymous
    • 5 years ago
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    Okay, how?

  7. anonymous
    • 5 years ago
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    let it be \[{x ^{2}/a ^{2}} + y ^{2}/b ^{2} =1\] b^2=a^2(1-e^2) e is ur coeff of eccentricity foci are at (ae,0) and (-ae,0) see a general diagram of ellipse a+ae=maximum distance from focus=7375 a-ae=min dist from focus=4425 find a , e

  8. anonymous
    • 5 years ago
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    do you have a general equation, with conics

  9. anonymous
    • 5 years ago
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    yes

  10. anonymous
    • 5 years ago
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    even for a hyperbolic path

  11. anonymous
    • 5 years ago
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    yes whats your equation with that e thingy , thats cool, for any conic

  12. anonymous
    • 5 years ago
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    Does anybody know the answer? I'm not doing so well with the equation..

  13. anonymous
    • 5 years ago
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    e is called ur coefficient of eccentricity that equation is only for an elliptical path

  14. anonymous
    • 5 years ago
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    This is an elliptical path though. What is the foci?

  15. anonymous
    • 5 years ago
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    (-ae,0) and (ae,0)

  16. anonymous
    • 5 years ago
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    I mean what does it represent? Like a definition.

  17. anonymous
    • 5 years ago
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    foci are the two points on the major axis of the ellipse An ellipse can be drawn using two drawing pins, a length of string, and a pencil: Push the pins into the paper at two points, which will become the ellipse's FOCI. Tie the string into a loose loop around the two pins. Pull the loop taut with the pen's tip, so as to form a triangle. Move the pen around, while keeping the string taut, and its tip will trace out an ellipse.

  18. anonymous
    • 5 years ago
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    That's a very interesting way to draw an ellipse, never heard of that technique, Thank you. Now in solving this problem, what do I need to plug into your equation to come up with numbers?

  19. anonymous
    • 5 years ago
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    try to visualize it sun is at (-ae,0) one of the foci max distance would be when pluto is at (a,0) so, a+ae=7375 work out for min distance in the same way

  20. anonymous
    • 5 years ago
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    Would it be either -a+ae=4,425 or a-ae=4,425?

  21. anonymous
    • 5 years ago
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    a-ae would give the correct answer

  22. anonymous
    • 5 years ago
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    Does a=2,950?

  23. anonymous
    • 5 years ago
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    or no, ae?

  24. anonymous
    • 5 years ago
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    ae would be 1475 a = 5950

  25. anonymous
    • 5 years ago
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    Does e=0.248?

  26. anonymous
    • 5 years ago
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    I got C. Is that correct?

  27. anonymous
    • 5 years ago
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    what did u do to find the widest point??

  28. anonymous
    • 5 years ago
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    I'm not sure if it's right. But i think this is a question that's easier than you would think. You want to find the widest point, so all I did was add 7,375 and 4,425 and that gives you 11,800.

  29. anonymous
    • 5 years ago
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    are you sure about his

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