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A Carnot engine operates between a high - temperature reservoir at 5 0 0 K and a low - temperature reservoir at 3 0 0

A Carnot engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. If the engine absorbs 600 J of heat from the high-temperature reservoir, calculate the efficiency of the engine, the work done by the engine, and the heat rejected to the low-temperature reservoir.Water flows through a pipe with a diameter of 0.1 m at a velocity of 2 m/s. The pipe then narrows to a diameter of 0.05 m. Using the principle of continuity, calculate the velocity of water in the narrower section of the pipe and the mass flow rate of water through the pipe.A steel rod with a length of 2 meters and a cross-sectional area of 0.01 m^2 is subjected to a tensile force of 50,000 N. Calculate the stress in the rod, the strain in the rod if the Youngs modulus for steel is 200 GPa, and the elongation of the rod.A block of mass 10 kg is sliding down an inclined plane with an angle of 30 to the horizontal. The coefficient of friction between the block and the plane is 0.3. Calculate the acceleration of the block, the net force acting on the block, and the distance traveled by the block in 5 seconds.A flat plate of area 2 m^2 is exposed to solar radiation. The solar irradiance is 800 W/m^2. If the plate is made of a material with an absorptivity of 0.6, calculate the total solar energy absorbed by the plate per second and the temperature rise of the plate after 10 minutes if the specific heat capacity of the material is 900 J/kgK and the mass of the plate is 5 kg.
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