Rhys has to sew a button on his shirt, but he finds that he can't thread the needle (i.e. the cotton thread is too thick for the eye of the needle). After studying thermal physics, he decides he should heat the needle to make it expand so that the cotton thread can fit through. Given that the thread was 8% too thick for the eye at room temperature (22°C), to what temperature (in Celsius) should he bring the needle for the thread to fit? (Given asteel = 10 x 10-6K-1.)
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- A small electric immersion heater is used to heat 82 g of water for a cup of instant coffee. The heater is labeled “150 watts” (it converts electrical energy to thermal energy at this rate). Calculate the time required to bring all this water from 25°C to 100°C, ignoring any heat losses. (The specific heat of water is 4186 J/kg·K.)You drop an ice cube into an insulated flask full of water and wait for the ice cube to completely melt. The ice cube initially has a mass of 90.0 g and a temperature of 0°C. The water (before the ice cube is added) has a mass of 850 g and an initial temperature of 22.0°C. What is the final temperature (in °C) of the mixture? (Assume no energy is lost to the walls of the flask, or to the environment.) °CAn aluminum wire is wrapped in rubber insulation. Both are subject to thermal expansion, with the following coefficients of linear expansion: alphaa=24· 10−6 1/C and alphar=8· 10−5 1/C . If the wire and insulation are the same length of 1.85m at a temperature of20.00°C, what is the difference in length (in MILLIMETERS) between the copper wire and the rubber insulation when heated up to a temperature of 189.00°C? Express a magnitude only (no negatives!). ______mm (MILLIMETERS!)
- A classroom has dimensions 8.00 m x 10.00 m x 3.00 m. A 1000 W electric space heater is being used to warm the room from 5.00°C to 20.00°C on a cold morning. If the density of air is 1.29 kg/m°, and the specific heat capacity of air is 1004 J/(kg-K), how long will it take to heat the room? Assume no loss of thermal energy to the surroundings. A) 1.30 minutes B) 241 minutes C) 45.3 minutes O D) 77.7 minutesA rod made of glass has a circular cross section with a diameter of 0.1200 m at a temperature of 20 degrees celsius. An aluminum ring has a diameter of 0.1196 m at a temperature of 20 degrees celsius. The coefficients of thermal expansion for glass and aluminum are 9.0 x 10-6 1/K and 24.0 x 10-6 1/K, respectively. At what temperature will the aluminum ring be able to slip over the glass rod? Between 225 and 250 degrees celsius Between 175 and 200 degrees celsius Between 100 and 125 degrees celsius Higher than 300 degrees celsius Between 250 and 275 degrees celsius Between 125 and 150 degrees celsius Between 275 and 300 degrees celsius Between 150 and 200 degrees celsius O Between 200 and 225 degrees celsiusSuppose a walrus transfers energy by conduction through its blubber at the rate of 125 W when immersed in -1.25°C water. The walrus’s internal core temperature is 37.0°C, and it has a surface area of 1.85 m2. Chart attached. What is the average thickness of its blubber, in centimeters, which has the conductivity of fatty tissue?
- Large meteors sometimes strike the Earth, converting most of their kinetic energy into thermal energy. (a) What is the kinetic energy of a 109kg meteor moving at 25.0 km/s? (b) If this meteor lands in a deep ocean and 80% of its kinetic energy goes into heating water, how many kilograms of water could it raise by 5.0°C?The mass of a hot-air balloon and its cargo (not including the air inside) is 160 kg. The air outside is at 10.0°C and 101 kPa. The volume of the balloon is 550 m3. To what temperature must the air in the balloon be warmed before the balloon will lift off? (Air density at 10.0°C is 1.244 kg/m3.) K=??