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A high-speed lifting mechanism supports a 870 kilogram object with a steel cable that is 34.0 meter long and 4.00 cm2 in cross-sectional area.

(a) Evaluate what the elongation of the cable.

mm

(b) Determine by what additional amount does the cable increase in length if the object is accelerated upwards at a rate of 3.3 m/s2?

mm

(c) Find the greatest mass that can be accelerated upward at 3.3 m/s2 if the stress in the cable is not to exceed the elastic limit of the cable, which is 2.2 x 10-8 Pa?

g

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