Industrial espionage on a distance planet (temperature and atmosphere is unknown) provides the information that successive resonances in a pipe are 210 and 294 Hz. The pipe is 5 m long, but it’s not known whether or not the pipe is open at both ends or only at one end. What is the pipe’s fundamental resonance frequency? The answer is 42Hz

A thin film suspended in air is 0.400 µm thick and is illuminated with white light incident perpendicularly on its surface. The index of refraction of the film is 1.58. At what wavelength will visible light that is reflected from the two surfaces of the film undergo fully constructive interference?

Astronauts on a distant planet toss a rock into the air. With the aid of a camera that takes pictures at a steady rate, they record the height of the rock as a function of time as given in the table below. (Do the following in a computer spreadsheet or programming environment. Your instructor may ask you to turn in this work.)

(a) Find the average velocity of the rock in the time interval between each measurement and the next.

(b) Using these average velocities to approximate instantaneous velocities at the midpoints of the time intervals, make a graph of velocity as a function of time.

(c) Does the rock move with constant acceleration?

Yes or No?   

If so, plot a straight line of best fit on the graph and calculate its slope to find the acceleration. (If not, enter 0, and "no direction".)

two stationary positive point charges, charge 1 of magnitude 3.70nC and charge 2 of magnitude 1.50nC , are separated by a distance of 39.0cm . An electron is released from rest at the point midway between the two charges, and it moves along the line connecting the two charges. What is the speed vfinal of the electron when it is 10.0cm from charge 1?

Please show all steps

Consider two coherent monochromatic sources of light of wavelength (lambda) centered at the origin and located at (0, 0,-d) and (0,0,+d). Show that the locus of points, satisfying either the condition for constructive or destructive interference, form a family of hyperboloids of revolution (one for each value of m) with the foci located at the sources. Do this by deriving the equation for the hyperboloid of revolution in Cartesian coordinates (1pt) and locating the focus points (0.5pts). Additionally, what does the surface look like for constructive interference when m=0? Prove your answer (0.5pts). You are not allowed to skips steps by using Wolfram or any other math software (in other words don�t skip important steps).

To be rescued from the roof of a burning building, a62-kg man must be able to jump straight up and catch hold of a rope ladder hanging from a helicopter. He has to raise his center of mass2.00 m above the roof to do so.

If he crouches down such that his center of mass is 0.50 m above the roof and his feet leave the roof when his center of mass is 1.05 m above the roof, what minimum force must he exert on the roof to reach the ladder?

A typical candy bar contains about Ecandy = 900 kJ of food energy. How many candy bars does this jump require?

Neglecting any drag, describe the energy transfers and transformations involved when a yo-yo is thrown downward, reaches the end of the string, and then climbs back up the string to be caught. If you add back in drag, what, if anything, changes?

A mass of 6 kg is placed on an incline with a coefficient of static friction of 1.80 and coefficient of kinetic friction of 1.28. No additional forces are acting on it and it is raised slowly from a small angle and it begins to slide at some angle. If 10 degrees is added to this angle, and the mass started from rest from a vertical height of 28 meters, how much longer would it take to travel down the incline to the bottom compared to if there was no friction on the incline? Answer in seconds.

Two solenoids are nested coaxially such that their magnetic fields point in opposite directions. Treat the solenoids as ideal. The outer one has a radius of 20 mm, and the radius of the inner solenoid is 10 mm. The length, number of turns, and current of the outer solenoid are, respectively, 20.3 cm, 553 turns, and 4.17 A. For the inner solenoid the corresponding quantities are 19.3 cm, 383 turns, and 1.35 A.

At what speed, v1, should a proton be traveling, inside the apparatus and perpendicular to the magnetic field, if it is to orbit the axis of the solenoids at a radius of 6.83 mm?

And at what speed, v2, for an orbital radius of 14.9 mm?

An insect 3.85 mm tall is placed 22.6 cm to the left of a thin planoconvex lens. The left surface of this lens is flat, the right surface has a radius of curvature of magnitude 13.4 cm, and the index of refraction of the lens material is 1.60.

(a) Calculate the location of the image this lens forms of the insect.

Calculate the size of the image.

(b) Repeat part (a) if the lens is reversed.

Calculate the location of the image this lens forms of the insect.

Calculate the size of the image.

A skater glides along a circular path of radius 7.40 m.

1-If he coasts around one half of the circle, find the magnitude of the displacement vector.

2-What distance has the person skated?

3-If the skater coasts only around 73 degrees of the circle, find the magnitude of his displacement vector.

4-What distance has he skated in this case? 5-What is the magnitude of the displacement if he skates all the way around the circle?

PLEASE WRITE THIS IN THE COMPUTER:

Include the solution of the problems with the whole procedure clear, complete and organized.

Solve:

3. What is the intensity level in decibels for an intensity sound wave of (a) 10-10 W / m2 and (b) 10-2 W / m2?

4. While an ambulance is traveling east on a highway at a speed of 33.5m / s (75mph), its siren emits sound at a frequency of 400Hz. How often will a person traveling in the car ride west at 24.6m / s (55mph) (a) while the car approaches the ambulance and (b) while the car moves away from the ambulance?

A sound wave has a propagation speed of 349 m/s, a frequency 1026 Hz, and has a maximum displacement of y_m= 3.02x10^-7 m. At time t= 0, and x= 0, the displacement is y_m = 1.00x10^-7 m.

(a) Using these values, find an equation of form:

           y(x,t) = y_m sin(kx - ωt + ϕ)

(b) Differentiate the expression and find the maximum speed of the oscillating air molecules.

(c) Find the maximum magnitude of acceleration of the oscillating air molecules.

If you pour 0.0350 kg of 25.0°C water onto a 1.18 kg block of ice (which is initially at −15.0°C), what is the final temperature (in °C)? You may assume that the water cools so rapidly that effects of the surroundings are negligible.

A firefighter directs a stream of water toward a burning building from the ground level. The stream of water leaves the ground with Velocity Vi, given that Vi=21.0 m/s and theta initial= 37.5 degrees and the building is 22.5 m away from the release point: How far above the ground is the stream of water hits the building?