A 5.9-kg block of ice at -1.5 °C slides on a horizontal surface with a coefficient of kinetic friction equal to 0.069. The initial speed of the block is 7.1 m/s and its final speed is 5.3 m/s. Assuming that all the energy dissipated by kinetic friction goes into melting a small mass m of the ice, and that the rest of the ice block remains at -1.5 °C, determine the value of m.
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- Air enters a 18cm diameter underwater duct at 50 °C at a volumetric flow rate of 0.180 m³/s. The air is cooled by the water outside and leaves at 15.5 °C. If the average heat transfer coefficient inside the pipe is 65 W/m²K and the tube temperature is constant at 10 °C, determine the steady rate of heat transfer to the air. Assume the density of air to be 1.281kg/m³ and its specific heat capacity is 1006J/kgK. O kw 07kW O BAW OskwWhat mass of water ice at −12° C must be added to 0.830 kg of liquid water that is initially at a temperature of 77.0° C, to produce all liquid water at a final temperature of 20.0° C ? The entire system is sealed inside an ideal calorimeter.A styrofoam cooler (k = 0.030 W/(m-°C) has outside dimensions of 0.170 m x 0.250 m x 0.260 m, and an average thickness of 2.0 cm. How long will it take for 1.10 kg of ice at -5.0°C to melt (to water at 0°C) in the cooler if the outside temperature is 34.0°C? Assume that ice temperature increases linearly from -5.0°C to 0°C. Neglect any temperature change of the air in the cooler. Data: Specific heat of ice is 2050 J/(kg-K). Laten heat of fusion of water is 3.34×105 J/kg.
- Ice of mass 10.0 kg at 0.00° C is placed in an ice chest. The ice chest has 2.00 cm thick walls of thermal coductivity 1.00 x 10^-5 kcal/s-m-C° and a surface area of 1.30m^2. (a) How much heat must be absorbed by the ice before it melts? (b) If the outer surface of the ice chest is at 30.0° C, how long will it take for the ice to melt?The thermal conductivities of human tissues vary greatly. Fat and skin have conductivities of about 0.20 W/m · K and 0.020 W/m · K respectively, while other tissues inside the body have conductivities of about 0.50 W/m · K. Assume that between the core region of the body and the skin surface lies a skin layer of 1.0 mm, fat layer of 0.50 cm, and 3.2 cm of other tissues. (a) Find the R-factor for each of these layers, and the equivalent R-factor for all layers taken together, retaining two digits. Rskin m2 · K/W Rfat m2 · K/W Rtissue m2 · K/W R m2 · K/W (b) Find the rate of energy loss when the core temperature is 37°C and the exterior temperature is 0°C. Assume that both a protective layer of clothing and an insulating layer of unmoving air are absent, and a body area of 2.0 m2. WAn aluminum cup with mass 0.56 kg holds 0.96 kg of water. Both the cup and the water have a temperature of 10.°C. If a 0.76-kg piece of copper at 53.°C is added to the cup, what is the final equilibrium temperature in °C? You may assume that the cup, water, and copper are well insulated from anything else.
- A copper block with a mass of 400 grams is cooled to 77 K by being immersed in liquid nitrogen. The block is then placed in a Styrofoam cup containing some water that is initially at +50.0°C. Assume no heat is transferred to the cup or the surroundings. The specific heat of liquid water is 4186 J/(kg °C), of solid water is 2060 J/(kg °C), and of copper is 385 J/(kg °C). The latent heat of fusion of water is 3.35 x 105 J/kg. What is the mass of water in the cup, if the final temperature is -25.0°C?A 0.03 kg ingot of metal is heated to 300 °C and then dropped into a beaker containing 0.30 kg of water initially at 30 °C. If the specific heat of the metal and the water are 453 and 4186 J/kg.ºC, respectively, find the final equilibrium temperature of the mixed system (in unit of Kelvin).Concrete sidewalks are always laid in sections, with gaps between each section. For example, the figure shows five identical 5.30-m sections, the outer two of which are against immovable walls. The four identical gaps between the sections are provided so that thermal expansion will not create the thermal stress that could lead to cracks. What is the minimum gap width necessary to account for an increase in temperature of 39 °C?