Pounding a nail into wood makes the nail warmer. Consider a 6-gg steel nail 6 cmcm long and a hammer that exerts an average force of 490 NN on the nail when it is being driven into a piece of wood. Find the change in the nail's temperature after it was pounded into the piece of wood completely. (Assume that the specific heat capacity of steel is 450 J/kg⋅∘CJ/kg⋅∘C.)   I can't find the correct formula to solve this equation.

Suppose you place 0.265 kg of 24.5°C water in a 0.45 kg aluminum pan with a temperature of 147.5°C, and 0.0125 kg of the water evaporates immediately, leaving the remainder to come to a common temperature with the pan. What would be the final temperature, in degrees Celsius, of the pan and water? The heat of vaporization of water is Lv = 2256 kJ/kg. You may neglect the effects of the surroundings and the heat required to raise the temperature of the vaporized water.  Te =

The value of specific heat for copper is 390 J/kg⋅C∘J, for aluminun is 900 J/kg⋅C∘, and for water is 4186 J/kg⋅C∘. What will be the equilibrium temperature when a 225 g block of copper at 235 ∘C is placed in a 135 g aluminum calorimeter cup containing 825 g of water at 15.0 ∘C?

A 0.70-kg piece of metal is heated to 80.0 °C and dropped into an ideal calorimeter containing 1.2 kg of water initially at 30.0 °C. What is the final equilibrium temperature of the piece of metal? The specific heat capacity of the piece of metal is 140 J/(kg · C°); and the specific heat of water is 4186 J/(kg ·C°). Hint: start with Qin = Qout O a) 31.0 °C O b) 18.2 °C c) 21.5 O d) 24.5 °C e) 21.3 °C f) 32.6 °C

A 6.25 kg block ice at 0 degrees Celsius is being warmed on a glass stove top. The thermal conductivity of the glass is 1.00 W/ (m K) and the glass is 0.50 cm thick. If the radiator plate underneath the glass raises the temperature of the bottom of the glass to 125 degrees Celsius, how long would it take to completely melt the ice? Assume the ice remains a solid rectangle with a square base of side 15 cm as it melts.   B. What is the rate of entropy change in Joules/ Kelvin/ seconds of the melting ice?

A 76 g copper calorimeter (c = 385 J/kg·°C) contains 270 g of water (c = 4184 J/kg·°C)at 12°C. When 233 g of an alloy at 194°C is dropped into the calorimeter, the resulting temperature is 35°C. What is the specific heat of the alloy? (Note: both the calorimeter and the water will gain heat while the alloy will lose heat)

Can you show me how to solve this?

A rectangular block of aluminum has the following dimensions: 1m x 1m x m. The density of aluminum is 2700kg/m^3. The specific heat of aluminum is 0.9 J/g K. How much does the block of aluminum weigh in Newtons?