One loudspeaker is producing a tone of frequency 236.30 Hz and a second loudspeaker a tone of frequency 236.50 Hz. What is the shortest time interval that you have to listen to the sound from the two loudspeakers to hear three beats?

A large goose lands in a lake and bobs up and down for a short time. A fisherman notices that the first wave created by the goose reaches the shore in $8.0 \mathrm{s}$.The distance between two wave crests is $80 \mathrm{cm}$, and in $2.0 \mathrm{s}$ he sees four waves hit the shore. How can the fisherman use these observations to determine how far from the shore the goose landed?

Make an order-of-magnitude estimate of the quantity. -The maximum distance over which you can hear a train horn.

If the average distance between bumps on a road is about 10 m and the natural frequency of the suspension system in the car is about 0.90 Hz, at what speed will you feel the bumps the most?

The siren on an ambulance is emitting a sound whose frequency is 2450 Hz. The speed of sound is 343 m/s. (a) If the ambulance is stationary and you (the "observer") are sitting in a parked car, what are the wavelength and the frequency of the sound you hear? (b) Suppose that the ambulance is moving toward you at a speed of 26.8 m/s. Determine the wavelength and the frequency of the sound you hear. (c) If the ambulance is moving toward you at a speed of 26.8 m/s and you are moving toward it at a speed of 14.0 m/s, find the wavelength and frequency of the sound you hear.

You hang a 0.10-kg block from a spring, causing the spring to stretch 0.070 m. When the block is hanging at rest at this equilibrium position, you pull it down with a spring scale and let go of the block when the scale reading is 3.0 N. (a) Where was the block when you let go? (b) Determine the work you did stretching the spring. (c) What was the energy of the spring-block-Earth system when you let go? (d) How far will the block rise after you release it? (e) The vibrations last for 50 cycles. Qualitatively represent the beginning of cycle #1 and the beginning of cycle #25 with an energy bar chart.

Explain how to add rational numbers with different denominators. Use $\frac{5}{6}+\frac{1}{2}$ as an example.

One physics professor talking produces a sound intensity level of 52 dB. It’s a frightening idea, but what would be the sound intensity level of 100 physics professors talking simultaneously?

How can you use the time delay between a lightning flash and the sound of thunder to estimate the distance to the place where the flash occurred? Justify any assumptions you make in an example calculation.

Replace

$$\circ$$

with <, >, or = to make a true sentence.

$$4 . \overline { 37 } \circ 4 \frac { 19 } { 50 }$$

The lowest three standing wave vibration frequencies of an organ pipe are $120 \mathrm{Hz}$,$360 \mathrm{Hz}$, and $600 \mathrm{Hz}$. (a) Is the pipe open or closed, and what is its length? (b) Determine the frequencies of the first two harmonic vibrations on a pipe of the same length but of the other type than that described in part (a).

Solve the equation. -x² + 16 = 5x² - 12

Simplify.

$$\sqrt { 144 }$$

(a) Determine the slope and y-intercept of each linear function. (b) Find the average rate of change of each function. (c) Graph each function. Label the intercepts. (d) Determine whether the function is increasing, decreasing, or constant. G(x) = 4