physics

A spring and mass system are oscillating with an amplitude of 8.4 cm. The spring constant is 204 N/m and the mass is 540 g. Find the mechanical energy of the system to 2 sf.

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asked by jake
  1. x = .084 sin wt
    max x = .084 when sin w t = 1
    then
    Pe = (1/2) k x^2 = (1/2) 204)(.084)^2

    now what is Ke when sin wt = 1?

    v = .084 w cos wt

    if sin wt = 1, then cos wt = 0 because
    sin^2 + cos^2 = 1 always
    so
    v = 0 when sin wt = 1
    so
    TOTAL energy = PE at sin wt = 1
    = (1/2) (204)(.084)^2 Joules still

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    posted by Damon

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