An organ pipe is 151cm\; cm long. The speed of sound in air is 343 m/s. Part A: What are the fundamental and first three audible overtones if the pipe is closed at one end? What are the fundamental and first three audible overtones if the pipe is open at both ends? Express awnsers to 3 signiicant figures seperated by commas

A 54-kg box is being pushed a distance of 7.1 m across the floor by a force Upper POverscript right-arrow EndScripts ? whose magnitude is 188 N. The force Upper POverscript right-arrow EndScripts ? is parallel to the displacement of the box. The coefficient of kinetic friction is 0.23. Determine the work done on the box by each of the four forces that act on the box. Be sure to include the proper plus or minus sign for the work done by each force. (a) WP = (b) Wf = (c) Wmg = (d) WN =

A diver springs upward from a board that is 3.70 m above the water. At the instant she contacts the water her speed is 12.3 m/s and her body makes an angle of 78.5 ° with respect to the horizontal surface of the water. Determine her initial velocity, both (a) magnitude and (b) direction.

Waves on a string are described by the following general equation

y(x,t)=Acos(kx−ωt).

A transverse wave on a string is traveling in the +xdirection with a wave speed of 8.50 m/s , an amplitude of 9.00×10⁻² m , and a wavelength of 0.490 m . At time t=0, the x=0 end of the string has its maximum upward displacement. Find the transverse displacement y of a particle at x = 1.52 m and t = 0.150 s .

A) Find the transverse displacement y of a particle at x = 1.52 m at time t = 0.150 s .

B)How much time must elapse from the instant in part (c) until the particle at x = 1.52 m next has maximum upward displacement?

Problem Scenario: A visit to the eye doctor! It is the time of the year when your family makes the annual visit to the eye doctor. In preparation you and your parents are writing down the specific issues you are facing with your eyes. None of you currently wear glasses. One of your parents says that they have been having trouble lately reading the newspaper. They can only see the newspaper clearly when it is at least dn = 50 cm from their eyes. But, they can comfortably see cars that are quite far away on the road. Your other parent says that they are also having trouble reading the newspaper and can read it if it is a similar distance dn = 50 cm away. However, they are also having trouble watching farther out: they can only clearly see stuff that is at most df = 2 m away. You say that you have not had trouble reading anything close to your eyes (about 25 cm away) but you are having trouble watching out for cars that are farther than df = 2 m away. You being the physicist in the family decide to follow the scientific method and figure out what type of lenses your optometrist would prescribe. You ask your parents whether they have a preference for glasses or contact lenses. You figure out the following preferences for your family: • You prefer contact lenses • Parent 1 (can not see close by, but can see far away) say that they prefer glasses that must must be placed d, = 2 cm from their eyes • Parent 2 can not see near or far) also wants glasses which must must be placed dy = 2 cm from their eyes With the above information you set out to find the power of each lens your eye doctor will probably) prescribe.

With the scenario: answer the following questions bellow

Your final report MUST include discussions of and answers to the following questions: 1). A clear ray diagram for each part of the scenario: you, parent 1, parent 2; eye only, eye + corrective lens, corrective lens only. Clearly mark the position of the object and the image. 2). Predict the power of each corrective lens required to fix the problem for you, parent 1, parent 2.

Consider an electromagnetic wave that is initially in vacuum, then enters a realistic material with index of refraction n ≠ 1.

Compared to its value in vacuum, how do each of the following properties of the wave change in value?

- Frequency does not change
- Speed decrease
- Wavelength depends on n

A 12-kg cylinder of radius 0.10 m starts at rest and rolls without slipping down a ramp that is 4.5 m long and inclined at 30? to the horizontal. When the cylinder leaves the end of the ramp, it drops 5.0 m to the ground.

At what horizontal distance from the end of the ramp does it land?

A mass of 1.20 kg is attached to a horizontal spring with a spring constant of 125 N/m. It is stretched to a length of 20.0 cm and released from rest.

a) Write down an equation for the position and velocity of the block as a function of time. b) What is the maximum magnitude of acceleration that the block experiences? Is this consistent with Hooke’s Law? c) When the block is to the right of the equilibrium position with a speed of 1.00 m/s to the left, a ball with a mass of 50.0 g and a speed of 10.0 m/s to the right hits (and sticks) to the block. After the collision, the system still oscillates following simple harmonic motion. What is the new amplitude of the system? Hint: Find the position at which the collision occurs, and then find the velocity of the block+ball after the collision. You can find the new amplitude using energy considerations.

A child sits on a merry‑go‑round that has a diameter of 6.00 m. The child uses her legs to push the merry‑go‑round, making it go from rest to an angular speed of 18.0 rpm in a time of 43.0 s. What is the average angular acceleration ?avg of the merry‑go‑round in units of radians per second squared (rad/s2)? ?avg= rad/s2 What is the angular displacement Δ? of the merry‑go‑round, in units of radians (rad), during the time the child pushes the merry‑go‑round? Δ?= rad What is the maximum tangential speed ?max of the child if she rides on the edge of the platform? ?max=

A pair of eyeglasses is designed to allow a person with a far-point distance of 2.21 m to read a road sign at a distance of 22.1 m

Part A Find the focal length required of these glasses if they are to be worn 2.50 cm from the eyes.

f=______ m

Part B Find the focal length required of these glasses if they are to be worn 1.25 cm from the eyes.

f=______ m

A large horizontal circular platform (M=91.7 kg, r=4.16 m) rotates about a frictionless vertical axle. A student (m=76.53 kg) walks slowly from the rim of the platform toward the center. The angular velocity ω of the system is 3.29 rad/s when the student is at the rim.

Find the moment of inertia of platform through the center with respect to the z-axis.

Find the moment of inertia of the student about the center axis (while standing at the rim) of the platform.

Find the moment of inertia of the student about the center axis while the student is standing 1.95 m from the center of the platform.

Find the angular speed when the student is 1.95 m from the center of the platform.

Match the following constellations with the number of days the sun spends in each constellation. One answer is be used twice.

Two charges are placed on the x axis. One of the charges (q₁ = +7.6 µC) is at x₁ = +3.3 cm and the other (q₂ = -18 µC) is at x₂ = +8.9 cm.

(a) Find the net electric field (magnitude and direction) at x = 0 cm. (Use the sign of your answer to indicate the direction along the x-axis.)


(b) Find the net electric field (magnitude and direction) at x = +6.4 cm. (Use the sign of your answer to indicate the direction along the x-axis.)

A very long conducting tube (hollow cylinder) has inner radius a and outer radius b. It carries charge per unit length -a where a is a positive constant with units of C/m. A line of charge lies along the axis of the tube. The line of charge has charge per unit length +a.

Part F

Find the direction of the electric field in terms of a? and the distance r from the axis of the tube for r>b

Find the direction of the electric field in terms of  and the distance  from the axis of the tube for

Part G

What is the charge per unit length on the inner surface of the tube?

Express your answer in terms of the given quantities and appropriate constants.

Part H

What is the charge per unit length on the outer surface of the tube?

Express your answer in terms of the given quantities and appropriate constants.

PLEASE SHOW ALL WORK! Thanks!