1. Consider two waves on the same vibrating string. Which of the following statements are true:
(a) two different waves might have different amplitudes, (b) two different waves might have
different frequencies, (c) two different waves might have different wave speeds, (d) two different
waves with the same frequency might have different wavelengths.
(a) a, b
(b) a, d
(c) a, b, d
(d) a, b, c, d
(e) c, d
2. A 0.5-kg mass on a spring has its position as a function of time given by
()
0.03 sin 0.2 2
t
xt m s
π
⎛
=× −
⎜
⎝⎠
⎞
⎟
. Find the spring constant.
(a) 2.5 N/m
(b) 6.25 N/m
(c) 12.5 N/m
(d) 25 N/m
(e) 50 N/m
3. A harmonic oscillator has angular frequency ω and amplitude A. What is the magnitude of the
displacement when the elastic potential energy is equal to the kinetic energy? (Assume that the
potential energy U=0 at equilibrium.)
(a) 0
(b) /3A
(c) /2A
(d) A
(e) 2A
4. A transverse wave is propagated in a string stretched along the x-axis. The equation of the
wave, in SI units, is given by: y = 0.005 cos [π (38t - 14x)]. The wave speed, including the sense
of direction along the x-axis, in SI units, is closest to:
(a) -3.7
(b) 2.7
(c) -2.7
(d) 0.37
(e) zero
5. A transverse wave is propagated in a string stretched along the x-axis. The equation of the
wave, in SI units, is given by: y(x,t) = 0.6 cos[π (46t - 12x)]. The maximum speed of a particle
on the string, in SI units, is closest to:
