Recent content by ryoonc

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    Surface Integrals: Flux of F across S

    Homework Statement Evaluate the surface integral ∫∫S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = xy i + yz j + zx k S is the part of the paraboloid z = 3...
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    Spring compression and escape speed

    Thanks for your response, Delphi, I used the equation provided to find the total energy needed to launch it, but I came up with yet again, a wrong answer. Here's how I got my answer: Find the total energy needed: GmM/r + (1/2) * m * 227^2 = { [ (6.673e-11) * 5kg * 6.3e5kg ] / 48 } + [ (1/2)...
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    Spring compression and escape speed

    Homework Statement A package of mass 5 kg sits at the equator of an airless asteroid of mass 6.3*10^5 kg and radius 48 m, which is spinning so that a point on the equator is moving with speed 2 m/s. We want to launch the package in such a way that it will never come back, and when it is very...
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    Energy in a spring-mass system

    Wow you're fast, thanks for your reply Jay. I said W cancels Kf because my book canceled them out, for whichever reason I don't know why. I used a non-zero value for Ki mainly because I didn't really know what I was doing, but I realize now that initial kinetic energy in this case is zero...
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    Energy in a spring-mass system

    Homework Statement A horizontal spring with stiffness 0.6 N/m has a relaxed length of 14 cm (0.14 m). A mass of 24 grams (0.024 kg) is attached and you stretch the spring to a total length of 23 cm (0.23 m). The mass is then released from rest. What is the speed of the mass at the moment when...