A metal rod that is 30.0 cm long expands by 0.0650 cm when its temperature is raised from $0.0^{\circ} C$ to $100.0^{\circ} \mathrm{C}$. A rod of a different metal and of the same length expands by 0.0350 cm for the same rise in temperature. A third rod, also 30.0 cm long, is made up of pieces of each of the above metals placed end to end and expands 0.0580 cm between $0.0^{\circ} C$ and $100.0^{\circ} \mathrm{C}$. Find the length of each portion of the composite rod.

A glass beaker measures 14 cm high by 5.0 cm in diameter. Empty, it floats in water with one-third of its height submerged. How many 12-g rocks can be placed in the beaker before it sinks?

Without using a calculator, find: $\log \sqrt{10}$ Check your answer using your calculator.

A long cylindrical rod, initially at a uniform temperature $T_{i}$, is suddenly immersed in a large container of liquid at $T_{\infty}<T_{i}$. Sketch the temperature distribution within the rod, T(r), at the initial time, at steady state, and at two intermediate times. On the same graph, carefully sketch the temperature distributions that would occur at the same times within a second rod that is the same size as the first rod. The densities and specific heats of the two rods are identical, but the thermal conductivity of the second rod is very large. Which rod will approach steady-state conditions sooner? Write the appropriate boundary conditions that would be applied at r=0 and r=D/2 for either rod.

List the three parts of the enteric nervous system.

A metal rod is 40.125 cm long at $20.0^{\circ} \mathrm{C}$ and 40.148 cm long at $45.0^{\circ} \mathrm{C}$. Calculate the average coefficient of linear expansion of the rod for this temperature range.

A metal ring 4.50 cm in diameter is placed between the north and south poles of large magnets with the plane of its area perpendicular to the magnetic field. These magnets produce an initial uniform field of 1.12 T between them but are gradually pulled apart, causing this field to remain uniform but decrease steadily at 0.250 T/s. (a) What is the magnitude of the electric field induced in the ring? (b) In which direction (clockwise or counterclockwise) does the current flow as viewed by someone on the south pole of the magnet?

In a container of negligible mass, 0.200 kg of ice at an initial temperature of $-40.0^{\circ} \mathrm{C}$ is mixed with a mass m of water that has an initial temperature of $80.0^{\circ} \mathrm{C}$. No heat is lost to the surroundings. If the final temperature of the system is $28.0^{\circ} \mathrm{C}$, what is the mass m of the water that was initially at $80.0^{\circ} \mathrm{C}$?

The inside of an oven is at a temperature of $200^{\circ} C\left(392^{\circ} \mathrm{F}\right)$. You can put your hand in the oven without injury as long as you don’t touch anything. But since the air inside the oven is also at $200^{\circ} \mathrm{C}$, why isn’t your hand burned just the same?

A Foucault pendulum consists of a brass sphere with a diameter of 35.0 cm suspended from a steel cable 10.5 m long (both measurements made at $20.0^{\circ} \mathrm{C}$). Due to a design over-sight, the swinging sphere clears the floor by a distance of only 2.00 mm when the temperature is $20.0^{\circ} \mathrm{C}$. At what temperature will the sphere begin to brush the floor?

A spherical pot contains 0.75 L of hot coffee (essentially water) at an initial temperature of $95^{\circ} \mathrm{C}$. The pot has an emissivity of 0.60, and the surroundings are at $20.0^{\circ} \mathrm{C}$. Calculate the coffee’s rate of heat loss by radiation.

There are 24 hours in a day. Jim sleeps 8 hours each night. (a) Eight hours is what fraction of a day? (b) What fraction of a day does Jim sleep? (c) What fraction of a day does Jim not sleep?

A parallel-plate capacitor with area 0.200 m$^2$ and plate separation of 3.00 mm is connected to a 6.00-V battery. What is the electric field between the plates?

A pot with a steel bottom 8.50 mm thick rests on a hot stove. The area of the bottom of the pot is $0.150 m^{2}$. The water inside the pot is at $100.0^{\circ} \mathrm{C}$, and 0.390 kg are evaporated every 3.00 min. Find the temperature of the lower surface of the pot, which is in contact with the stove.