Two pieces of steel wire with identical cross sections have lengths of L and 2L. The wires are each fixed at both ends and stretched so that the tension in the longer wire is four times greater than in the shorter wire. If the fundamental frequency in the shorter wire is 60 Hz, what is the frequency of the second harmonic in the longer wire?

If the new supplier does provide spools of .20­mm solid OFE copper wire that average 50 inches between flaws, how is the length of wire between two consecutive flaws distributed?

A 41-cm length of wire has a mass of 6.0 g. It is stretched between two fixed supports and is under a tension of 160 N. What is the fundamental frequency of this wire?

The 2 m copper wire with square cross section of 1 mm by 1 mm stretched 1.67 mm when it supported a 10 kg mass. Cut a length of this wire 0.2 m long and hang a 10 kg mass from it. How much will this short wire stretch?

A step-down transformer is used for recharging the batteries of portable devices. The turns ratio $N_2/N_1$ for a particular transformer used in a CD player is 1:13. When used with 120-V (rms) household service, the transformer draws an rms current of 250 mA. Find the rms output voltage of the transformer

A copper wire is stretched with a stress of 70 MPa (10,000 psi) at 20 degree C (68 degree F). If the length is held constant, to what temperature must the wire be heated to reduce the stress to 35 MPa (5000 psi)?

A circuit calls for a 0.50-mm-diameter copper wire to be stretched between two points. You don’t have any copper wire, but you do have aluminum wire in a wide variety of diameters. What diameter aluminum wire will provide the same resistance?

Calculate the magnitude of the magnetic force on a 240-m length of wire stretched between two towers and carrying a 150-A current. The Earth's magnetic field of $5.0 \times 10^{-5} \mathrm{~T}$ makes an angle of $68^{\circ}$ with the wire.

A copper wire that is $1 \mathrm{~m}$ long and has a radius of $0.5 \mathrm{~mm}$ is stretched to a length of $2 \mathrm{~m}$. What is the fractional change in resistance, $\Delta R / R$, as the wire is stretched? What is $\Delta R / R$ for a wire of the same initial dimensions made out of aluminum?

Two loudspeakers are placed above and below one another and are driven by the same source at a frequency of $500 \mathrm{~Hz}$. (a) What minimum distance should the top speaker be moved back in order to create destructive interference between the speakers?

A glass tube is closed at one end. The air column it contains has a length that can be varied between 0.50 m and 1.50 m. A tuning fork of frequency 306 Hz is sounded at the top of the tube. Predict the lengths of the air column at which loud sounds would be heard from the tube. (Take the speed of sound to be

$$340 \mathrm { ms } ^ { - 1 }$$

.)

How far, and in what direction, should a cellist move her finger to adjust a string’s tone from an out-of-tune 449 Hz to an in-tune 440 Hz? The string is 68.0 cm long, and the finger is 20.0 cm from the nut for the 449-Hz tone.

Determine the domain and range of each relation. Explain why each nonfunction is not a function.

$$\begin{matrix} \text{x} & \text{0} & \text{3} & \text{8} & \text{0} & \text{3} & \text{8}\\ \text{y} & \text{-1} & \text{-2} & \text{-3} & \text{1} & \text{2} & \text{2}\\ \end{matrix}$$

Use the terms (freezing, gas, liquid, physical changes, solubility, solution, temperature, volume) to complete the sentence. A change of state from a liquid to a solid is _____.