Recent content by gcfve

  1. G

    What is the Solution for a Particle Moving Under a Repulsive Central Force?

    ok so the angle between r and v at rmin should be 90? so, |L| = mv_0r = mv_0b sp rmin=bv/v0?
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    2nd year Calculus: partial derivatives

    Ok, well when I tried to do that I got answerd without sin and cos in them.. is what i did so far right? and is there a formula for finding the second partials wrt s and t?
  3. G

    What is the Solution for a Particle Moving Under a Repulsive Central Force?

    Yeah, that's what i meant I didnt realize it was like that when i copied it
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    What is the Solution for a Particle Moving Under a Repulsive Central Force?

    Homework Statement 1. Homework Statement A particle of mass m moves under action of a repulsive central force Fr=Cr-3 with constant C greater than 0. At a very large distance from the centre of the force, the partcle has kinetic energy K and its impact parameter is b. Use conservation of...
  5. G

    Minimum distance from a repulsive central force

    Yeah, I still don't know how to get it.
  6. G

    Maximum distance in orbit from center of a planet

    Well, L=mrv or L=mbv0 and i guess V=-GmM/r but i don't know how to use these at this point..
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    2nd year Calculus: partial derivatives

    well, from the formula, (\frac{\partial^2u}{\partial s^2} + \frac{\partial^2u}{\partial t^2}) should = 2e3s(cos(t) - sin(t)) But I still don't understant how to get to the partails wrt s and t I have u=f(x,y) so u=f(escost,essin t)
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    2nd year Calculus: partial derivatives

    Ok, well I got : \frac{\partial^2u}{\partial x^2} =-2essin(t) and \frac{\partial^2u}{\partial y^2} = 2escos(t)
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    2nd year Calculus: partial derivatives

    If u=f(x,y), where x=escos(t) and y=essin(t), show that: second derivative of u wrt x + second derivative of u wrt y = e-2s(second derivative of u wrt s + second derivative of u wrt t)
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    2nd year Calculus: partial derivatives

    Homework Statement See attatched image. Homework Equations I just don't know where to start... The Attempt at a Solution Any help would be appreciated! :)
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    Maximum distance in orbit from center of a planet

    Homework Statement Consider a spherical, nonrotating planet of mass M, and radius R, with no atmosphere. A satellite is fired from the surface of the planet with speed v0 at 45o from the local vertical. In its subsequent orbit the satellite reaches a maximum distance of 5R/3 from the centre...
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    Minimum distance from a repulsive central force

    Homework Statement A particle of mass m moves under action of a repulsive central force Fr=Cr-3 with constant C greater than 0. At a very large distance from the centre of the force, the partcle has kinetic energy K and its impact parameter is b. Use conservation of energy and angular...
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