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An empty cart, tied between two ideal springs, oscillates with ω = 10.1 rad/s.A load is placed in the cart, making the total mass 3.9 times what it was before. What is the new value of ω?

This is how I did it, but its wrong
3.9/3=1.3 then 1.3x10.1=13.13 rad/s
I don't know what I am doing wrong.

  • Physics -

    ω1 =sqrt (k/m)
    ω2 =sqrt (k/(3.9•m))
    ω2/ ω1 = sqrt(k•m/(3.9•m•k)=0.506
    ω2 = 0.506•ω1=5.11 rad/s

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