Recent content by alexander_i

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    What is the period of a bobbing cork?

    Homework Statement A cork floats in water. The cork is a cylinder with radius 1 cm and height 3.4 cm. The density of the cork is 0.55 g/cc. Calculate the period of oscillation if the cork is pushed down a little and released. Homework Equations I think I need help with the restoring...
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    Conservation of Momentum Set-Up

    YEAH! Thank you for your help!
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    Conservation of Momentum Set-Up

    Homework Statement An empty freight car of mass M starts moving from rest with a constant applied force F0. At the same time, coal runs into the car at steady rate b from a hopper above the car at rest along the track. Calculate the velocity of the car as a function of time. GIVEN: M =...
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    Equilibrium of Forces on a Spring

    Thanks for the reply! We know dU(x) = F*dx, and I did set up and energy equation before E = -(1/2)*k*x2 + (1/2)*m*v2 - fr*x and when I take the derivative, I of course get back to my Fnet. Am I trying to solve this differential? or did I not pick up on your question?
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    Equilibrium of Forces on a Spring

    Homework Statement A particle of mass M moves in one dimension along the positive x axis, under the influence of two forces. The first force is a constant force, with magnitude B and direction toward the origin. The second force is an inverse square law, with magnitude A/x2 and direction...
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    Speed of car down hill with same power as up.

    Gah damn this is actually the first was I did it, except using cos\theta.. but that's right! THANKS! My answer was 47.29m/s which seems like a huge increase for such a small slope. I'm still having an intuitive block, which is why I deterred from continuing with that method; why isn't it...
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    Speed of car down hill with same power as up.

    I misinterpreted what you said. I think I was using the normal as the Down-weight. So I'll keep the resistive force 0.033*mg.
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    Speed of car down hill with same power as up.

    Good call, I'll just treat it as friction then. Yeah, I would think it would have to speed up with the same power going down. But, is the Driving force now Po/Vo or Po/Vf? I keep getting snagged...
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    Speed of car down hill with same power as up.

    Homework Statement A snowmobile climbs a hill at 6.526m/s. The slope of the hill is a 1 ft rise for every 40 ft of distance. The resistive force of the snow is equal to 3.3 percent of the weight of the snowmobile. How fast will the snowmobile move downhill, assuming the engine delivers the...
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    What is the intuitive idea behind the fundamental theorem of calculus?

    APPLICATION so you can USE it: In the most concise wording, since it's nicer to show it with an actual graph; Use the FTC usually when given a graph of the derivative (f '(x) OR (d/dx) where the integral of that would give you the original graph. When the equation for d/dx is NOT given, just...
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