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A 2.2 kg mass is attached to a spring with a force constant of 560 N/m on a smooth horizontal surface. The mass is pulled to one side, released, and allowed to oscillate back and forth.

(a) find the maximum compression and expansion of the spring if the maximum speed of the mass is 1.7 m/s.

(b) by what multiplicative factor do your answers to part (a) change if the force constant of the spring is doubled?

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  1. a)The maximum compression(x)
    mg=kx tyen solve for x
    x=mg/k =2.2*9.8/560=0.0385
    -maximum speed =w=squ of k/m
    and Vmax =w*x

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  2. .106

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