(a) In air at 0°C, a 1.44-kg copper block at 0°C is set sliding at 2.90 m/s over a sheet of ice at 0°C. Friction brings the block to rest. Find the mass of the ice that melts. (Assume the latent heat of fusion for water is 3.33 x 105 J/kg.) 0.018 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. mg (b) As the block slows down, identify its energy input Q, its change in internal energy AE, and the change in mechanical energy int' for the block-ice system. Q ΔΕ. int ΔΕ. mech (c) For the ice as a system, identify its energy input Q and its change in internal energy AEnt: Q %3D ΔΕ. int (d) A 1.44-kg block of ice at 0°C is set sliding at 2.90 m/s over a sheet of copper at 0°C. Friction brings the block to rest. Find the mass of the ice that melts. mg

The goal in this problem is to find the growth of an ice layer as a function of time. Call the thickness of the ice layer L. (a) Derive an equation for dL/dt in terms of L , the temperature T above the ice, and the propertiesof ice (which you can leave in symbolic form instead of substituting the numbers). (b) Solve this differential equation assuming that at t = 0 , you have L = 0. If you have studied differential equations, you will know atechnique for solving equations of this type: manipulate the equation to get dL/dt multiplied by a (very simple) function of L on one side, and integrate both sides with respect to time. Alternatively, you may be able to use your knowledge of the derivatives of various functions to guess the solution, which has a simple dependence on t. (c) Will the water eventually freeze to the bottom of the flask?

Problem 1.42. The specific heat capacity of Albertson's Rotini Tricolore is ap- proximately 1.8 J/g °C. Suppose you toss 340 g of this pasta (at 25°C) into 1.5 liters of boiling water. What effect does this have on the temperature of the water (before there is time for the stove to provide more heat)?

Imagine a thermometer which is spherical shell of volume 100 cm attached to a long tube with equally spaced marks on it. The volume of the tube between to consequent marks is 0.2 cm. Sphere and tube contain air separated from surronding space by a drop of water. At temperature 5°C this water drop is at the 20-th mark on the tube. What is the temperature in the room where the drop settles at the 50-th mark.