### How numerous homes could be heated with the waste heat

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Q1. A 32 percent efficient electric power plant produces 900 MJ of electric energy per second and discharges waste heat into 200C ocean water. Suppose the waste heat could be used to heat homes during the winter instead of being discharged into the ocean. A typical American house requires an average 20 kW for heat in g. How numerous homes could be heated with the waste heat of this one power plant?

Q2. A curve of radius 56 m is banked so that a car of mass 1.8 Mg travelling with uniform speed 51 km/hr can round the curve without relying on friction to keep it from slipping on the surface. At what angle is the curve banked? The acceleration due to gravity is 9.8 m/s2.

Q3. A 25-cm-long wire with a linear density of 25 passes across the open end of an 83-cm-long open-closed tube of air. If the wire that is fixed at both ends vibrates at its fundamental frequency, sound wave it generates excites the second vibration mode of the tube of air.

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