Recent content by Koi9

  1. K

    Spiral path in polar coordinates problem

    Also, if the angle between my two vectors is not theta, would it be v, since that seems to point in the same direction? EDIT: So I want to show that cosθ=va/va, and that this equals a constant, so is a constant
  2. K

    Spiral path in polar coordinates problem

    Ah I see, so I should basically show that (va)cos(theta)/va cancels out to leave cos(theta), the time derivative of which is constant, showing that my angle is constant?
  3. K

    Spiral path in polar coordinates problem

    A bee goes from its hive in a spiral path given in plane polar coordinates by r = b*ekt , θ = ct, where b, k, c are positive constants. Show that the angle between the velocity vector and the acceleration vector remains constant as the bee moves outward. (Hint: Find v · a/va.) attempts...
  4. K

    Finding the critical points of a multivariable function

    Assignment due soon, anyone help please?
  5. K

    Finding the critical points of a multivariable function

    partial x = 3x^2-21=0 3x^2=21 x=sqrt(21)/3 partial y = 4y^3-36y=0 4y^3=36y 4y^2=36 = 6 y=3/2 must be missing something, because I don't really see another way to solve it.Thanks, Matt
  6. K

    Finding the critical points of a multivariable function

    Homework Statement \ Find the critical points of the function. Then use the Second Derivative Test to classify each critical point (or state that the test fails). f(x, y) = x3 + y4 - 21x - 18y2 The Attempt at a Solution partial x derivative=3x^2-21=0 partial y= 4y^3-36y=0...
  7. K

    Cannon Recoil and Initial Velocity

    the mass of the cannon is 40kg. muzzle velocity of the cannonball is 100m/s
  8. K

    Subatomically, what causes an atom speed up when it has a chemical bond broken?

    I don't know too much about chemistry, but physics wise, perhaps it is a conservation of momentum related phenomenon? If one atom is more massive than the over, depending on the angles, the less massive atom would move with a higher magnitude of velocity, right? What the person above me said...
  9. K

    Cannon Recoil and Initial Velocity

    Thank you for the response, sorry but I completely messed up when stating my givens. All I know about the cannonball is that it is a "10cm diameter steel cannonball," I do not know its mass. So unless my teacher expects us to look up the density of steel and calculate the mass (which I...
  10. K

    Cannon Recoil and Initial Velocity

    So the question I'm asking about is actually from my analytical mechanics class, but I think my question is really more of a gen. physics question. Basically, in this question we have a cannon ball, diameter(EDIT:but not mass!), fired with a given muzzle velocity, and we are given the cannon...
  11. K

    How Does Cannon Recoil Impact Cannonball Velocity and Trajectory?

    A cannon launches a 10cm diameter cannonball w/ a muzzle velocity of 100 m/s horizontally from the top of a 40m high wall under STP. The cannon has a mas of 40 kg and is free to recoil. a. What is the initial v of the cannonball wrt the ground b.calculate the landing position neglecting air...
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