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The apparatus shown in the figure below was used by Joule to measure the mechanical equivalent of heat. Work is done on the water by a rotating paddle wheel, which is driven by two blocks falling at a constant speed. The temperature of the stirred water increases due to friction between the water and the paddles. If the energy lost in the bearings and through the walls is neglected, then the loss in potential energy associated with the blocks equals the work done by the paddle wheel on the water. If each block has a mass of 1.65 kg and the insulated tank is filled with 200 g of water, what is the increase in temperature of the water (in °C) after the blocks fall through a distance of 3.40 m? Thermal insulator °C Need Help? Read It

The apparatus shown in the figure below was used by Joule to measure the mechanical equivalent of heat. Work is done on the water by a rotating paddle wheel, which is driven by two blocks falling at a constant speed. The temperature of the stirred water increases due to friction between the water and the paddles. If the energy lost in the bearings and through the walls is neglected, then the loss in potential energy associated with the blocks equals the work done by the paddle wheel on the water. If each block has a mass of 1.65 kg and the insulated tank is filled with 200 g of water, what is the increase in temperature of the water (in °C) after the blocks fall through a distance of 3.40 m? Thermal insulator °C Need Help? Read It

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**Text Transcription:** The apparatus shown in the figure below was used by Joule to measure the mechanical equivalent of heat. Work is done on the water by a rotating paddle wheel, which is driven by two blocks falling at a constant speed. The temperature of the stirred water increases due to friction between the water and the paddles. If the energy lost in the bearings and through the walls is neglected, then the loss in potential energy associated with the blocks equals the work done by the paddle wheel on the water. If each block has a mass of 1.65 kg and the insulated tank is filled with 200 g of water, what is the increase in temperature of the water (in °C) after the blocks fall through a distance of 3.40 m? [Diagram Explanation: The diagram illustrates an insulated tank containing water, with a paddle wheel submerged inside. Two blocks, each with mass \( m \), are connected to the paddle wheel mechanism. As these blocks fall, they cause the paddle wheel to rotate, stirring the water. The system is designed to limit heat exchange with the surroundings, represented by the thermal insulator depicted around the tank.] **Interactive Element:** [Input box for temperature increase in °C] **Assistance Section:** - Need Help? - Read It
Transcribed Image Text:**Text Transcription:** The apparatus shown in the figure below was used by Joule to measure the mechanical equivalent of heat. Work is done on the water by a rotating paddle wheel, which is driven by two blocks falling at a constant speed. The temperature of the stirred water increases due to friction between the water and the paddles. If the energy lost in the bearings and through the walls is neglected, then the loss in potential energy associated with the blocks equals the work done by the paddle wheel on the water. If each block has a mass of 1.65 kg and the insulated tank is filled with 200 g of water, what is the increase in temperature of the water (in °C) after the blocks fall through a distance of 3.40 m? [Diagram Explanation: The diagram illustrates an insulated tank containing water, with a paddle wheel submerged inside. Two blocks, each with mass \( m \), are connected to the paddle wheel mechanism. As these blocks fall, they cause the paddle wheel to rotate, stirring the water. The system is designed to limit heat exchange with the surroundings, represented by the thermal insulator depicted around the tank.] **Interactive Element:** [Input box for temperature increase in °C] **Assistance Section:** - Need Help? - Read It
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