CAPE Physics Unit 1 · 2015 · Paper 2 · Question 6(d)(ii)
Figure 6 shows a crane used for lifting heavy objects. The motor lifts a total mass of 1800 kg from rest on the ground. The cable supporting the mass is made from steel with a Young's modulus of 2.4 × 10^11 Pa. The cross-sectional area of the cable is 1.3 × 10^-4 m^2. As the mass leaves the ground, the strain in the cable is 0.0010. Assume the weight of the cable is negligible.
Assuming it is an 8-tonne crane and that the length of the cable is 8 m, determine the extension in the cable when it is operating at maximum load.
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