Problem Eight: A gold ring at room temperature (23°C) is dropped into the fires of Mordor which increases it's temperature to 752°F. The thermal expansion coefficient of gold is 14.0 x 10 (C)' and Young's modulus is 79.0 x 10° Pa. The cross-sectional diameter of the ring is 1.60 mm. If a hobbit slips the ring on snugly while its warm, what is the magnitude of the force the ring will exert on his finger when it cools back to it's original temperature? 15.) (A) 622 N (D) 784 N (B) 450 N (E) 844 N (C) 287 N

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Problem Eight: A gold ring at room temperature (23°C) is dropped
into the fires of Mordor which increases it's temperature to 752°F. The
thermal expansion coefficient of gold is 14.0 x 10* ("C)' and Young's
modulus is 79.0 x 10' Pa. The cross-sectional diameter of the ring is
1.60 mm. If a hobbit slips the ring on snugly while its warm, what is
the magnitude of the force the ring will exert on his finger when it
cools back to it's original temperature?
15.) (A) 622 N
(D) 784 N
(B) 450 N
(E) 844 N
(C) 287 N
Transcribed Image Text:Problem Eight: A gold ring at room temperature (23°C) is dropped into the fires of Mordor which increases it's temperature to 752°F. The thermal expansion coefficient of gold is 14.0 x 10* ("C)' and Young's modulus is 79.0 x 10' Pa. The cross-sectional diameter of the ring is 1.60 mm. If a hobbit slips the ring on snugly while its warm, what is the magnitude of the force the ring will exert on his finger when it cools back to it's original temperature? 15.) (A) 622 N (D) 784 N (B) 450 N (E) 844 N (C) 287 N
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