Questions
A 0.20-kg mass is oscillating on a spring over a horizontal
frictionless surface. When it is at a displacement of 2.3 cm for
equilibrium it has a kinetic energy of 1.5 J and a spring potential
energy of 2.3 J. What is the maximum speed of the mass during
its oscillation? - ✔ ✔ 6.2 m/s
The air in a tube open at both ends is sent into its fundamental
resonance. One end of the tube is then closed and the air column
is again set into its fundamental resonance. The resonant
frequency ____ after the end is closed. - ✔ ✔ halves
The density of a certain metal solid is 6.5 × 103 kg/m3, and its
Young's modulus is 10.0 × 1010 N/m2. What is the speed of sound
in this metal? - ✔ ✔ 3.9E+3 m/s
The Doppler shift of ultrasonic waves can measure the speed of
blood in an artery. If the frequency of the stationary source is
95.0 kHz and the reflected sound has a Doppler shift of 210 Hz,
what is the blood flow speed? (The speed of sound inside the
body is 1 500 m/s.) - ✔ ✔ 1.7 m/s
The frequency separating audible waves and ultrasonic waves is
considered to be 15.0 kHz. What wavelength in air at room
temperature is associated with this frequency? (Assume the
speed of sound to be 225 m/s.) - ✔ ✔ 1.50 cm
,The lower A on a piano has a frequency of 30.0 Hz. If the tension
in the 2.00-m-long string is 316 N and one-half wavelength
occupies the string, what is the mass of the string? - ✔ ✔ 43.9
g
The motion of a piston in an automobile engine is nearly simple
harmonic. If the 1-kg piston travels back and forth over a total
distance of 15.6 cm, what is its maximum speed when the engine
is running at 3 480 rpm? - ✔ ✔ 14.2 m/s
The number of overtones, and their relative intensities, is
associated with what property of the tone generated by a
musical instrument? - ✔ ✔ quality
The oxygen molecule (O2) may be regarded as two masses
connected by a spring. In vibrational motion, each oxygen atom
alternately approaches, then moves away from the center of
mass of the system. If each oxygen atom of mass m = 2.67 ×
10−26 kg has a vibrational energy of 1.6 × 10−21 J and the effective
spring constant is 86 N/m, then what is the amplitude of
oscillation of each oxygen atom? - ✔ ✔ NOT--4.3E-12 m
The position of a 0.64-kg mass undergoing simple harmonic
motion is given by x = (0.160 m) cos (πt/16). What is its period of
oscillation? - ✔ ✔ 32 s
How many nodes does a standing wave in a string have at the
frequency of the sixth harmonic? - ✔ ✔ The answer is not
given.
, I attach a 4.0-kg block to a spring that obeys Hooke's law and
supply 3.4 J of energy to stretch the spring. I release the block; it
oscillates with period 0.15 s. The amplitude is - ✔ ✔ 3.1 cm.
I stretch a rubber band and "plunk" it to make it vibrate in its
fundamental frequency. I then stretch it to four times its length
and make it vibrate in the fundamental frequency once again. The
rubber band is made so that quadrupling its length quadruples
the tension and reduces the mass per unit length by a factor of 4.
The new frequency will be related to the old by a factor of - ✔
✔ 1
If a long spring with spring constant k is cut into 4 equal lengths,
what is the spring constant of each of the 4 shorter springs? - ✔
✔ It is 4k.
If a radio wave has speed 3.00 × 108 m/s and frequency 94.3 MHz,
what is its wavelength? - ✔ ✔ 3.18 m
A mass on a spring vibrates in simple harmonic motion at a
frequency of 8.0 Hz and an amplitude of 2.0 cm. If a timer is
started when its displacement is a maximum (hence x = 2.0 cm
when t = 0), what is the speed of the mass when t = 3.0 s? - ✔
✔ zero
A mass-spring system on a horizontal frictionless surface is set
in simple harmonic motion with amplitude A. The mass is then
doubled and the system is again set into simple harmonic motion
with the same amplitude. Which of the following is true about the
total mechanical energy of the system due to doubling the mass?
- ✔ ✔ It has not changed