More quiz practice - answers at bottom

Hey everyone,

By popular request, here are a few more quiz practice problems.

1.  How long should a pendulum be so that it has a 1.5 second period?  Also, what is the frequency of oscillation of this pendulum?

2.  Consider a 0.5-kg box sliding down a frictionless incline.  If it drops a total of 0.75 during the descent, find the following:

a.  initial PE relative to the bottom of the slide
b.  KE at the bottom of the slide
c.  speed at the bottom of the slide
d.  speed half-way down the slide

3.  A Telecaster guitar string is approximately 0.64-m long from bridge to "nut" (where the strings connect to the headstock).  Perform calculations for the first 3 harmonics, assuming that the lowest frequency (n=1) is 320 Hz.  Fill in the table below:

n          harmonic drawing          wavelength          frequency          speed

1                                                                                 320

2

3


>

Answers:

1.  0.56 m

2.

3.7 J
3.7 J
3.8 m/s
2.7 m/s

3.  with rounding, answers will be close to these:

1     1.28 m     320 Hz     410 m/s
2     0.64 m     640 Hz     410 m/s
3     0.43 m     960 Hz     410 m/s