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A mass m = 9.0 kg is attached to a spring and allowed to hang in the Earth's
gravitational field. The spring stretches 3.0 cm before it reaches its equilibrium position.
If allowed to oscillate, what would be its frequency f?
(Hint: f = (k/m)1/2/(2p). Find out the k value first.)
A) 1.8 Hz
B) 0.58 Hz
C) 2.9 Hz
D) 0.33 x 10-3 Hz - Answer-C) 2.9 Hz
Doubling only the amplitude of a vibrating mass-and-spring system produces what
effect on the system's mechanical energy? (Hint: P.E. of a spring = (1/2)kx2.)
A) produces no change
B) increases the energy by a factor of three
C) increases the energy by a factor of two
D) increases the energy by a factor of four - Answer-D) increases the energy by a factor
of four
For a forced vibration, the amplitude of the driven harmonic system
A) reaches its maximum when the external frequency equals to the natural frequency of
the system.
B) depends on the ratio of the external frequency and the natural frequency of the
system.
C) depends on the product of the external frequency and the natural frequency of the
system.
, D) depends on the sum of the external frequency and the natural frequency of the
system. - Answer-A) reaches its maximum when the external frequency equals to the
natural frequency of the system.
Sound travels faster when the air is
A) cold.
B) warm.
C) neither - Answer-B)warm
A wave having a frequency of 1000 Hz vibrates at
A) more than 1000 cycles per second.
B) less than 1000 cycles per second.
C) 1000 seconds to complete a cycle.
D) 1000 cycles per second. - Answer-D) 1000 cycles per second.
If the frequency of a certain wave is 10 Hz, its period is
A) 0.1 s.
B) 10 s.
C) 100 s.
D) none of the above - Answer-A) 0.1 s.
If a wave has a speed of 362 m/s and a period of 4.17 ms, its wavelength is closest to
A) 86,800 m
B) 1.51 m
C) 0.0115 m
D) 86.8 m
E) 1510 m - Answer-B) 1.51 m
A standing wave is oscillating at 950 Hz on a string, as shown in the figure below. What
is the wave speed?