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Simple Mass-Spring System Problem

  1. Apr 29, 2009 #1
    Simple Mass-Spring System Problem!!

    A mass M slides across a frictionless horizontal table with constant speed V_0_. It collides with a spring of spring constant k, compressing it. The mass-spring system then rebounds. Take the position of the mass when it first hits the spring to be x=0.

    a) Suppose that the mass comes to a momentary stop after compressing the spring a distance L. What is the spring constant k in terms of V_0_, M, and L?

    b) The spring reexpands, pushing the mass back. What is the speed of the mass M when it passes through x=0?



    2. Relevant equations
    F_spring_ = k*d;
    E_stored in spring_ = 1/2(k*d^2^)


    3. The attempt at a solution

    a) E_i_ = E_f_
    1/2mv^2^ = 1/2kx^2;
    mv^2^ = kL^2
    (mV_0_^2)/L^2 = k;

    b) no idea
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Apr 30, 2009 #2

    dx

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    Gold Member

    Re: Simple Mass-Spring System Problem!!

    Do the same thing you did in part (a). What is the potential energy of the spring when the mass is at x = 0?
     
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