The elastic limit of an elevator cable is \( 2 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2} \). Th...

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The elastic limit of an elevator cable is \( 2 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2} \). The maximum upward acceleration that an elevator of mass \( 2 \times 10^{3} \mathrm{~kg} \) can have when supported by a cable whose cross-sectional area is \( 10^{-4} \mathrm{~m}^{2} \), provided the stress in cable would not exceed half of the elastic limit would be
(1) \( 10 \mathrm{~m} \mathrm{~s}^{-2} \)
(2) \( 50 \mathrm{~m} \mathrm{~s}^{-2} \)
(3) \( 40 \mathrm{~m} \mathrm{~s}^{-2} \)
(4) not possible to move up
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