Recent content by merzperson

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    Solve linear system using augmented matrix

    Thanks rock.freak667, I have followed your directions and that helped a lot. However, I seem to be going wrong somewhere. I solved the system of equations using software and got r=1.376E-14 , s=-1 , t=1 . When I solved using the matrix I get some fractional numbers (z=63/23). I was extra careful...
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    Solve linear system using augmented matrix

    Homework Statement Solve using an augmented matrix: 3r-2s+4t=6 2r+3s-5t=-8 5r-4s+3t=7 2. The attempt at a solution [FONT="Courier New"][3 -2 4 | 6] => [1 0 0 | x] [2 3 -5 |-8] => [0 1 0 | y] [5 -4 3 | 7] => [0 0 1 | z] I have successfully used 2x2 augmented matrices, but with 3x3 it...
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    Graph inequality in complex plane; negative z value

    Homework Statement Graph the following inequality in the complex plane: [FONT="Courier New"]|1 - z| < 1 2. The attempt at a solution In order to graph the inequality I need to get the left side in the form [FONT="Courier New"]|z - ...| [FONT="Courier New"]|1 - z| < 1 |(-1)z + 1| < 1 |-1(z...
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    Dredging bottom of river (3D Calculus)

    Thank you Mark44! That was just what I needed to get started.
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    Dredging bottom of river (3D Calculus)

    I am given a contour map of the bottom of a river and I must determine how much material must be removed to make the river navigable. Can someone help me by telling me how they'd go about solving this type of problem? My main problem is that I am not so sure what shape(s) to find the volume...
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    Graph Potential Energy over Position

    Thanks for all your help, I solved the problem. The reason for my confusion was because I never learned to integrate. I was doing the problem backwards.
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    Distance Travelled Accounting for Friction

    Thanks denverdoc for your reply! However, I'm not sure what you're telling me. I did assume that the energy robbed by friction is the same every pass over the rough surface (when I calculated work done by friction). I also accounted for the length of the path when calculating the work of...
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    Distance Travelled Accounting for Friction

    Homework Statement A 4.5 kg box slides down a 4.3-m-high frictionless hill, starting from rest, across a 2-m-long horizontal surface, then hits a horizontal spring with spring constant 460 N/m. The other end of the spring is frictionless, but the 2.0-m-long horizontal surface is rough. The...
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    Graph Potential Energy over Position

    Thanks guys! Using the equation F = -dU/dr we can solve for dU: dU = -Fdr And then plug in the values for force (F) and displacement (dr). However, what do I plug in for the displacement? For example, at x=0.5 dU = -(2)(0.5) = -1 Is this correct? I'm not sure I'm using the displacement...
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    Graph Potential Energy over Position

    Homework Statement The figure shows the force Fx exerted on a particle that moves along the x-axis. Draw a graph of the particle's potential energy as a function of position x from 0m to 1.1m. Let U be zero at x=0m. Homework Equations W = F*d U = mgh The Attempt at a Solution...
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    Understanding Work Homework: Does System Do Work on Environment?

    Homework Statement The kinetic energy of a system decreases while its potential energy and thermal energy are unchanged. Does the environment do work on the system, or does the system do work on the environment? Homework Equations W = K1 - K2 The Attempt at a Solution I got the...
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    Ski Slope using Energy Conservation

    Homework Statement It's been a great day of new, frictionless snow. Julie starts at the top of the 60 degree slope shown in the figure . At the bottom, a circular arc carries her through a 90 turn, and she then launches off a 3.0--high ramp. How far horizontally is her touchdown point from...
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    How to Design a Ballistic Spring System for Measuring Bullet Speed

    Spring PE2 should just be the same as Spring PE1 except with the addition of the mass of the bullet, yes? This doesn't quite make sense to me, because the spring probably won't be equally compressed at the top and at the bottom, am I right? What is the correct way to calculate Spring PE2? Once...
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