1. If the second harmonic of a guitar string is at a frequency of 640 Hz, what is the frequency of the third harmonic?

2. A clarinet is an instrument which acts like an "open-closed" tube. Suppose you play a note which is the fundamental of the instrument (with all holes closed) which is at 415 Hz. What is the frequency of the next harmonic you can play?

3. You shine white light through a cyan filter onto a magenta sheet of paper. What color does the paper appear to be?

4. Choose the appropriate resultant color. If no light is the result, choose none.
a. Yellow light shines on a magenta object. What color is the reflected light?
b. Yellow light shines on a blue surface. What color is the reflected light?
c. Cyan light shines on a blue filter. What color is the transmitted beam?

5. a. In order to stretch a spring 0.1m from equilibrium, you have to apply a force of 2N. What is the spring constant of the spring?
b. Suppose the spring is stretched such that the displacement from equilibrium is doubled. What force is required to do this?

6. A professor drives off with his car (mass 840 kg), but forgot to take his coffee mug (mass 0.41 kg) off the roof. The coefficient of static friction between the mug and the roof is 1.3, and the coefficient of kinetic friction is 0.4. What is the maximum acceleration of the car, so the mug does not slide off?

An 0.50 kg object is attached to one end of a spring, and the system is set into simple harmonic motion. The displacement x of the object as a function of time is shown in the drawing below. With the aid of this data, determine the following values.
(a) amplitude A of the motion
(b) angular frequency
(c) spring c

Two springs with the same unstretched length, but different force constants and are attached to a block with mass on a level, frictionless surface. Calculate the effective force constant in each of the three cases depicted in the figure.
a). Express your answer in terms of the variables k1, m, k2
k_eff -c =
b) An object

A 1.73 x 10-2-kg block is resting on a horizontal frictionless surface and is attached to a horizontal spring whose spring constant is 123 N/m. The block is shoved parallel to the spring axis and is given an initial speed of 8.69 m/s, while the spring is initially unstrained. What is the amplitude of the resulting simple harmoni

The period of oscillation of a spring-and-mass system is 0.50 seconds and the amplitude is 5.0cm. What is the magnitude of the acceleration at the point of maximum extension of the spring?

Please see the attached files for full description.
15. The displacement of a mass oscillating on a spring is given by x(t) = x_m * cos(wt + ph). If the initial displacement is zero and the initial velocity is in negative x direction, then the phase constant phi is:
16. Mass m, oscillating on the end of a spring with sprin

Problem #2
Sound intensity at 3 m from a jet engine is 2 W/m2 .
(a)What is the intensity at 1500 m? (b) Convert your answer for intensity to decibel scale.
Problem #3
Quantitatively explain why the speed of sound in He about thrice the speed of sound in air.
Problem #4
First harmonic frequency of a Harp string is 164

One end of a spring with spring constant k is attached to the wall. The other end is attached to a block of mass m. The block rests on a frictionless horizontal surface. The equilibrium position of the left side of the block is defined to be x=0. The length of the relaxed spring is L... (see attached)
Please do not place your

1. A 300-g mass at the end of a spring oscillates with an amplitude of 7.0 cm and a frequency of 1.80 Hz. (a) Find its maximum speed and maximum acceleration. (b) What is its speed when it is 3.0 cm from its equilibrium position?
A) 8.96 m/s, 8.9 m/s2 (b) 0.45 m/s
B) 79.2 m/s, 895 m/s2 (b) 0.512 m/s
C) 0.79 m/s, 8