A deep-sea diver is suspended beneath the surface of Loch Ness by a l00-m-Iong cable that is attached to a boat on the surface (Fig. 15.40). The diver and his suit have a total mass of 120 kg and a volume of 0.0800 m3. The cable has a diameter of 2.00 cm and a linear I mass density of µ = 1.10 kg/m. The diver thinks he see something moving in the murky depths and jerks the end of the cable back and forth to send transverse waves up the cable as a signal to his companions in the boat.
(a) What is the tension in the cable at its lower end, where it is attached to the diver? Do not forget to include the buoyant force that the water (density 1000 kg/m3) exerts on him.
(b) Calculate the tension in the cable a distance x above the diver. The buoyant force on the cable must be included in your calculation.