Recent content by Falken_47

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    Modular Arithmetic Homework: 1/2*(x-4)(x-5) = 4(x-4)(x-5) (mod 7)

    Oh alright i think I'm starting to get it. So if the question is 1/3*(x-4)(x-5) it is congruent to 5(x-4)(x-5) (mod 7) because 3 * 5 = 1 mod 7? And what if the denominator is larger than the mod, say 1/30*(x-4)(x-5), should it be: 30^-1 * (x-4)(x-5) and 30* 4 = 1 mod 7 therefore...
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    Modular Arithmetic Homework: 1/2*(x-4)(x-5) = 4(x-4)(x-5) (mod 7)

    Homework Statement Hi everyone, I have a problem in the following modular arithmetic operation 1/2*(x-4)(x-5) = 4(x-4)(x-5) (mod 7) ("=" means congruent in this expression) Homework Equations The Attempt at a Solution I am completely lost on how the operation is valid. If...
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    Prove square of four-momentum is relativistic invariant

    Homework Statement Hi everyone, I have a physics assignment that asks: Prove that the square of relativistic four-momentum for a massive particle is a relativistic invariant under Lorentz transformations. Can anyone help me to work on the problem? I'm always lost in the class ever since my...
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    Motion of particle in an electric field

    Ok, thank you very much for the reply!
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    Motion of particle in an electric field

    Homework Statement Suppose a proton is at rest and at the origin of some coordinate system. Then, electric field of E(r) = E0 X-hat is turned on. What is the position of proton at time t and then its velocity? Homework Equations E(r) = E0 X-hat Fproton = e * E(r) The Attempt at...
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    Finding velocity function from a model of force

    Ah yes thank you very much at pointing out my mistake, guess I spend too much time thinking how to actually solve the differential equation that I forgot about that. In any case, thank you for helping me again :)
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    Finding velocity function from a model of force

    Homework Statement Hi, I've got an assignment which involves finding the function of velocity against time, given the information that the particle is moving with intial velocity of v0 and that it experience a resistive force of -βv2 Homework Equations From the problem I've derived...
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