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3.

The change in frequency can be calculated using the general **Doppler** equation:

f'=f((V+-Vo) / (V-+Vs))

V is speed of sound (343m/s)

Vo is speed of observer

Vs is speed of source

f' is shifted frequency

f is original frequency

f'=f((V+Vo)/(V-Vs)) used for situations in which the source and the observer are coming closer together

f'=f((V-Vo)/(V+Vs)) used for situations that they are moving away from one another.

So for this question, when you drive toward this parked car

f'1=735*(343+Vo)/343

when you drive away

f'2=735*(343-Vo)/343

The difference in f' will be 735*2*Vo/343=78.4 , solve this one gives the speed of observer

Vo=18.29m/s=65.86km/hr

4.

The **universal wave equation** applies:

v = λf where v = the speed of propagation, λ = wavelength, and f = frequency.

v = λf = (12)(2.40) = 28.8 m/s

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1. How can the speed of a spring undergoing simple harmonic motion be doubled for a particular amplitude?

2. A light spring is used to induce simple harmonic motion in a 5.7 kg block on a frictionless horizontal surface. When the block has a displacement of -0.70m, it has a velocity of -0.80 m/s and is accelerating at +2.7m/s^{2} . What is the amplitude of the motion?

3. The suspension of a 526 kg motorcycle is provided by springs with a combined force constant of 9067 N/m. A 110 kg rider will change the bike's oscillation period by what percentage, compared to the bike without a rider?

4. A mass attached to a spring starts from rest at x = 0.0410 m and time t = 0. If the mass oscillates with a period of 3.13 s, where is it at 3.21 s?

5. A vertical spring of force constant 162 N/m oscillates with a maximum speed of 0.372 m/s when attached to a 0.824 kg mass. Calculate

a. the period of the motion.

b. the maximum acceleration of the mass.

6. A mass attached to a spring exhibits simple harmonic motion with angular frequency, ω, and amplitude, A. What is the speed of the mass when its kinetic and potential energies are equal?

7. Why is the acceleration of vibrating body is zero at its equilibrium position?

8. A mass attached to a spring (k = 29.8 N/m) oscillates with an angular frequency of 2.81 rad/s. The spring's maximum distortion is 0.232 m. What is the potential energy stored in the system 1.42 s after the spring has extended to its maximum?

9. What length of **pendulum** near the Earth's surface will have a period of 1.0s?

1. The following shows a view from above an interference pattern. The two sources, S1 and S2, have the same frequency and are in phase. The point, P, is on the second nodal line. What is the wavelength of the sources?