Recent content by diablo2121

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    Power needed to keep velocity of conveyor belt constant

    Homework Statement A conveyor belt travels at a constant velocity v while sand is poured onto it at rate of \frac{dm}{dt}. Find the power needed to drive the conveyor belt.Homework Equations P = \frac{dW}{dt} = F*v F = m*\frac{dv}{dt}The Attempt at a Solution I have the equations needed to...
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    Potential energy of gravitational force

    Wow, once you learn Latex, it's a lot easier to format your equations. I hope that helps the equations a little better to understand.
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    Potential energy of gravitational force

    Homework Statement A bead of mass m slides along the x-axis between two spheres of mass M equidistant from the x-axis (distance d) and attract the bead gravitationally. a. Find the potential energy of the bead. b. The bead is released at x = 3d with an initial velocity toward the...
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    Momentum and Energy sliding blocks

    Here's a diagram for reference: http://img390.imageshack.us/img390/5575/blocksbi2.jpg m slides along the circular slope and leaves the bottom with v, but I'm confused as to how to factor in the momentum between m and M since both blocks act without regard to friction. So the final v for m...
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    Momentum and Energy sliding blocks

    Homework Statement A cube of mass m slides down a circular path of radius r cut into a larger block of mass M. M rests on a table, and friction is ignored. Both blocks start at rest and m starts at the top of the circular path. What is the velocity v of the the small cube as it leaves the...
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    What Initial Height Ensures a Block's Force Equals Its Weight at the Loop's Top?

    Homework Statement A block of mass m starts from rest from a height h and slides down along a loop with radius r. What should the initial height h be so that m pushes against the top of the track with a force equal to its weight? (ignore friction) Homework Equations U = mgh K = 1/2 mv^2 F = mg...
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    Max and min speed around banked curve

    If the car were to slip up the curve, then the friction force f, pointing inward, is overcome. Likewise, the car slipping inwards would imply that W is overcoming f, which should be pointing outwards. How do I relate these concepts into my equations?
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    Max and min speed around banked curve

    Homework Statement A car enters a turn whose radius is R. The road is banked at angle Theta, and the friction coefficient is mu. Find the max and min speeds for the car to stay on the road without skidding sideways. Homework Equations W = mg N = -W Friction force = f = muN Centripetal...
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    Finding the shortest possiblee travel time

    Thank you for the lead. I don't know if I got it right, but I started with two vf^2 = vi^2 + 2ax equations, one for speeding up and one for slowing down. Although I did not know vf for speeding up or vi for slowing down, I assumed the quickest would be if the car began to decelerate at a certain...
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    Finding the shortest possiblee travel time

    I have a similar question to this problem. My car can accelerate uniformly (calculated to be 1.788 m/s^2) to 120 mi/h (53.6448 m/s) in 30 s, and its maximum deceleration is -6.86 m/s^2. I'm supposed to find the minimum time to travel 0.5 mi (804.672 m) with the car beginning and ending at rest...
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