Church organs have a set of pipes with different lengths. With those different pipes organs can produce sounds over a wide range of frequencies. If the lowest frequency produced by an organ is 31.6 Hz, and the highest frequency is 1.80 kHz, then what is the shortest possible wavelength of sound the organ can produce? Assume that the speed of sound is 336 m/s.
B) What is the longest possible sound wavelength the organ can produce?

The small spherical planet called "Glob" has a mass of 6.50×10¹⁸ kg and a radius of 5.60×10⁴ m. An astronaut on the surface of Glob throws a rock straight up. The rock reaches a maximum height of 1.64×10³ m, above the surface of the planet, before it falls back down.

-What was the initial speed of the rock as it left the astronaut's hand? (Glob has no atmosphere, so no energy is lost to air friction. G = 6.67×10^-11 Nm²/kg².)
(in m/s)

-A 33.0 kg satellite is in a circular orbit with a radius of 1.40×10⁵ m around the planet Glob. Calculate the speed of the satellite.
(in m/s)

A solid sphere has a temperature of 674 K. The sphere is melted down and recast into a cube that has the same emissivity and emits the same radiant power as the sphere. What is the cube's temperature in kelvins?

The first and second formants when you make an "ee" vowel sound are approximately 270 Hz and 2300 Hz . The speed of sound in your vocal tract is approximately 350 m/s . If you breathe a mix of oxygen and helium (as deep-sea divers often do), the speed increases to 810m/s

With this mix of gases, what are the frequencies of the two formants?

. You are holding a shopping basket at the grocery store with two 0.62-kg cartons of cereal at the left end of the basket. The basket is 0.61 m long. Where should you place a 1.9-kg half gallon of milk, relative to the left end of the basket, so that the center of mass of your groceries is at the center of the basket?

1. What is the minimum value of l for a subshell that has 11 electrons in it?

2. If a hydrogen atom has its electron in the n = 6 state, how much energy in eV is needed to ionize it?

3. What is the smallest angle in degrees that S makes with the z -axis for an l = 1 electron?

Q: A child is running at her maximum speed of 4.0 m/s to catch an ice-cream truck, which is stopped at the side of the road. When the child is 20 m from the truck, the ice-cream truck starts to accelerate away at a rate of 1.0 m/s² . Does the child catch the truck? solve this problem algebraically and graphically.

Oxygenated hemoglobin absorbs weakly in the red (hence its red color) and strongly in the near infrared, whereas deoxygenated hemoglobin has the opposite absorption. This fact is used in a "pulse oximeter" to measure oxygen saturation in arterial blood. The device clips onto the end of a person's finger and has two light-emitting diodes—a red (632 nm) and an infrared (930 nm)—and a photocell that detects the amount of light transmitted through the finger at each wavelength.

(a) Determine the frequency of each of these light sources.

red Hz

infrared Hz

(b) If 66% of the energy of the red source is absorbed in the blood, by what factor does the amplitude of the electromagnetic wave change? Hint: The intensity of the wave is equal to the average power per unit area as given by I = Emax2 2μ0c = c 2μ0 Bmax2.

A uniform thin rod of length 0.778 m is hung from a horizontal nail passing through a small hole in the rod located 0.057 m from the rod's end. When the rod is set swinging about the nail at small amplitude, what is the period of oscillation?

A 92.0-N uniform, horizontal board 14.0 m long rests on two supports, each 1.00 m from the

end of the board. A 385-N block is placed on the board 3.00 m from one end as shown below.

Find the force exerted on the board by each support.

The energies of the hydrogen atom are quantized by integer number n from 1 to infinity. This number if called the principal quantum number. Find:

a) principal quantum number

b) binding energy

c) orbital radius

d) total enery

e) excitation energy of the fifth state of hydrogen

What are some advantages and disadvantages of thermal oxidation?

A bug of a known mass m stands at a distance d from the axis of a non-uniform spinning disk with radius r and unknown rotational inertia I that is rotating at fi revolutions per second. After the bug walks out to the edge of the disk and stands there, the disk rotates at ff revolutions per second.

a. Determine the rotational inertia of the non-uniform disk.

b. Determine the change of kinetic energy in going from the initial to the final situation for the total bug-disk system.

A car is traveling down the expressway at 31.7 ? with no acceleration. How far has the car? traveled in 3.9 hours? If the speed limit in such expressway is 70mph, should the driver receive a speed ticket?

A car is traveling down the same expressway as in the previous problem, it is traveling at 22.3 7 ?. If it constantly accelerates at a rate of 4.3 ?, in how many minutes is it going to pass the speed limit.