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Ideal spring: find the work during certain displacement

  1. Oct 25, 2009 #1
    1. The problem statement, all variables and given/known data[/b]
    A block with mass (m) is attached to an ideal spring that has force constant (k) .

    2. Relevant equations[/b]

    a.)The block moves from (x_1) to (x_2) , where (x_2) > (x_1) . How much work does the spring force do during this displacement?

    b.The block moves from (x_1) to (x_2) and then from (x_2) to (x_1). How much work does the spring force do during the displacement from (x_2) to (x_1) ?

    c.)What is the total work done by the spring during the entire (x_1) --> (x_2) --> (x_1) displacement?

    d.)The block moves from (x_1) to (x_3) , where (x_3) > (x_1) . How much work does the spring force do during this displacement?

    e.)The block then moves from (x_3) to (x_2) . How much work does the spring force do during this displacement?

    f.) What is the total work done by the spring force during the (x_1) --> (x_3) -->(x_2) displacement?

    I have no memory of ever seeing a problem like this in class. Can anyone help me?
     
  2. jcsd
  3. Oct 25, 2009 #2
    Try drawing a graph of the displacement over the Force, and try confronting it with other similar graphs.
    Consider that Work=Force*displacement.
     
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