college physics

in a pinball machine, a force of 24 N is used to compress a spring a distance of 0.080m.
a. What is the potential energy stored in the spring?
b. What is the maximum speed tha it van produve in a ball of mass 0.15kg?

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  1. k=F/x=24/0.08 = 300 N/m
    PE = kx²/2 = 300•(0.08)²/2= 0.96 J.

    KE=PE
    mv²/2 =kx²/2
    v=sqrt(kx²/m) = sqrt(300•(0.08)²/0.15) = 3.58 m/s

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