Part (a) of the drawing shows a rectangular bar whose dimensions are Lox 240x34o. The bar is at the same constant temperature as the room (not shown) in which it is located. The bar is then cut, lengthwise, into two identical pieces, as shown in part (b) of the drawing. The temperature of each piece is the same as that of the original bar. (a) What is the ratio of the power absorbed by the two bars in part (b) of the drawing to the single bar in part (a)? (b) Suppose that the temperature of the single bar in part (a) is 495 K. What would the temperature (in kelvins) of the room and the two bars in part (b) have to be so that the two bars absorb the same power as the single bar in part (a)?

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Chapter1: Units, Trigonometry. And Vectors
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Part (a) of the drawing shows a rectangular bar whose dimensions are \(L_0 \times 2L_0 \times 3L_0\). The bar is at the same constant temperature as the room (not shown) in which it is located. The bar is then cut, lengthwise, into two identical pieces, as shown in part (b) of the drawing. The temperature of each piece is the same as that of the original bar.

**Questions:**

(a) What is the ratio of the power absorbed by the two bars in part (b) of the drawing to the single bar in part (a)?

(b) Suppose that the temperature of the single bar in part (a) is 495 K. What would the temperature (in kelvins) of the room and the two bars in part (b) have to be so that the two bars absorb the same power as the single bar in part (a)?

**Answer:**

(a) \(P_1/P_2 =\) [Input Number] [Units]

(b) \(T_2 =\) [Input Number] [Units]

**Diagram Explanation:**

The drawing consists of two parts:

1. **Part (a):** Shows a single rectangular bar with dimensions \(L_0\) (height), \(2L_0\) (width), and \(3L_0\) (length).
   
2. **Part (b):** Shows the bar divided into two identical pieces, lengthwise, preserving the same temperature as the original bar.
Transcribed Image Text:Part (a) of the drawing shows a rectangular bar whose dimensions are \(L_0 \times 2L_0 \times 3L_0\). The bar is at the same constant temperature as the room (not shown) in which it is located. The bar is then cut, lengthwise, into two identical pieces, as shown in part (b) of the drawing. The temperature of each piece is the same as that of the original bar. **Questions:** (a) What is the ratio of the power absorbed by the two bars in part (b) of the drawing to the single bar in part (a)? (b) Suppose that the temperature of the single bar in part (a) is 495 K. What would the temperature (in kelvins) of the room and the two bars in part (b) have to be so that the two bars absorb the same power as the single bar in part (a)? **Answer:** (a) \(P_1/P_2 =\) [Input Number] [Units] (b) \(T_2 =\) [Input Number] [Units] **Diagram Explanation:** The drawing consists of two parts: 1. **Part (a):** Shows a single rectangular bar with dimensions \(L_0\) (height), \(2L_0\) (width), and \(3L_0\) (length). 2. **Part (b):** Shows the bar divided into two identical pieces, lengthwise, preserving the same temperature as the original bar.
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