Question

1. An object is undergoing simple harmonic motion with a period of 9.45 seconds and an amplitude of A = 0.110 meters.

At t = 0 the object is at x = 0.00 meters and is moving in the positive direction.

How far from the equilibrium position is the object when t = 6.00 seconds?

2. Write an equation that correctly describes a traveling wave disturbance y(x,t) propagating in the +x direction that satisfies the following conditions:

a. The maximum disturbance from equilibrium is 0.06 m.

b. The wave velocity is 90 m/s.  

c. The frequency is 120 Hz.

d. at t = 0 and x = 0, y(0,0) = 0.06 m.

3. What is the intensity level when the sound intensity is 0.0000569 Watts per square meter?

4. A sound source is moving toward a listener at a velocity of 75 m/s. The listener is moving away from the sound source at 55 m/s. What frequency will the listener hear if the source frequency is 512 Hz? Take 344 m/s as the speed of sound.

5. Positive electric charge Q is distributed uniformly in the shape of a cross. Consider that the center of the cross is at the origin and that each bar of the cross is of length 2a. The charge distribution extends from -a to a along the x axis and from -a to a along the y axis. Find the electric field at a point P on the z axis at a distance z greater than a from the origin. Please show all work.

6. Express Express Coulomb's Law. Identify each constant or variable.

7. When a sound wave passes from air into water, do you expect the frequency or the wave length to change?

8. Does the period of a simple pendulum depend on the amplitude of its motion? Explain.

Thanks so much! Explain any steps or calculations if convenient.  

Answer 1