A car breaks down and the driver asks a likal to tow it using a piece of nylon rope whin l 10.00 m long and has a diameter of 10.1m The rope obeys Hooke's law and has a Yin modulus of 3.0 x 10°Nm. The mas, l the car and driver is 750 ky. (a) When towing on a level road ata cuntant speed, it is found that the rope cstemth by 0.025 m. Calculate the tension in ilepe and hence the net resistive force aclug the towed cur. (b) The two cars now ascend a slope uln lh rises 1.0m vertically for every 5 travelled on the road. They maintan the same speed as in part (a). What is the new length of the towrope? (c) How much clastic energy is stored in Ihe rope while the cars are climbing? (d) A stretched towrope must be regarded av dangerous hecause of the energy released

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Ising model of Ferromagnets

The Ising model is one of the easiest and most famous theoretical models for ferromagnetism in statistical mechanics. When a group of atomic spins aligns such that their magnetic moments are pointed in the same direction and produce a strong permanent magnetic moment in macroscopic size, the phenomenon is called ferromagnetism. The relative permeability of these magnets is greater than unity and increasing magnetization with the applied external field. Even in the absence of an external magnetic field, these substances retain spontaneous magnetization. An example of ferromagnets is iron.