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A high-speed lifting mechanism supports a 880 kilogram object with a steel cable that is 39 meter long and 4 cm2 in cross-sectional area.

(a) Calculate the elongation of the cable.

__________ mm

(b) Compute by what additional amount does the cable increase in length if the object is accelerated upwards at a rate of 2.7 m/s2?

______________ mm

(c) Determine the greatest mass that can be accelerated upward at 2.7 m/s2 if the stress in the cable is not to exceed the elastic limit of the cable, which is 2.2 x 108 Pa?

_____________ kg

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