Physics

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A block of mass M=6 kg and initial velocity v=0.8m/s slides on a frictionless horizontal surface and collides with a relaxed spring of unknown spring constant. The other end of the spring is attached to a wall. If the maximum compression of the spring is 0.2 m, what is the spring constant?

  • Physics -

    Equate kinetic and potential (spring) energies:
    KE=(1/2)mv²
    PE=(1/2)ks²
    Solve for k
    k=mv²/s² N/m
    (verify that quantities are in consistent units).

  • Physics -

    I tried
    F=-kx so
    mg=-kx
    (6 kg)(9.8m/s^2)=-k(0.2m)
    k= 294 N/m

    But the correct answer is supposed to be 96 Nm.

  • Physics -

    Oh I see now. Thanks!

  • Physics :) -

    You're welcome!

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