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