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Warm Hands by Friction: Temperature Increase Calculation
Chapter 14, Problem 5(choose chapter or problem)
Rubbing your hands together warms them by converting work into thermal energy. If a woman rubs her hands back and forth for a total of 20 rubs, at a distance of 7.50 cm per rub, and with an average frictional force of 40.0 N, what is the temperature increase? The mass of tissues warmed is only 0.100 kg, mostly in the palms and fingers.
Questions & Answers
QUESTION:
Rubbing your hands together warms them by converting work into thermal energy. If a woman rubs her hands back and forth for a total of 20 rubs, at a distance of 7.50 cm per rub, and with an average frictional force of 40.0 N, what is the temperature increase? The mass of tissues warmed is only 0.100 kg, mostly in the palms and fingers.
ANSWER:
Step 1 of 3
Given:
The frictional force, \(F = 40 N\)
Number of rubs, \(n = 20\)
Distance covered per rub, \(d = 7.50 cm = 0.075m\)
Total distance covered in 20 rubs, \(\mathrm{D}=0.075\times2\mathrm{0}=1.5\mathrm{\ m}\)
mass of the tissues warmed, \(m = 0.1 kg\)
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Warm Hands by Friction: Temperature Increase Calculation
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Join us to explore the science of hand-warming through friction in this video. We calculate the temperature increase as a woman rubs her hands together, converting work into thermal energy. Dive into the physics of heat generation and discover how friction can keep you warm.