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A spring with a spring constant of 1.6 102 N/m is attached to a 1.7 kg mass and then set in motion. What is the period of the mass-spring sys- tem?

A spring with a spring constant of 1.6 × 102
N/m is attached to a 1.7 kg mass and then set
in motion.
What is the period of the mass-spring sys-
tem?
Answer in units of s.
002 (part 2 of 2) 10.0 points
What is the frequency of the vibration?
Answer in units of Hz.
003 10.0 points
A visitor to a lighthouse wishes to determine
the height of the tower. The visitor ties a
spool of thread to a small rock to make a
simple pendulum, then hangs the pendulum
down a spiral staircase in the center of the
tower. The period of oscillation is 9.30 s.
The acceleration of gravity is 9.81 m/s2 .
What is the height of the tower?
Answer in units of m.
004 10.0 points
What is the free-fall acceleration in a location
where the period of a 2.39 m long pendulum
is 3.1 s s?
Answer in units of m/s2.
005 (part 1 of 3) 10.0 points
You dip your finger into a pan of water twice
each second, producing waves with crests that
are separated by 0.19 m.
Determine the frequency of these water
waves.
Answer in units of Hz.
006 (part 2 of 3) 10.0 points
Determine the period of these water waves.
Answer in units of s.
007 (part 3 of 3) 10.0 points
Determine the speed of these water waves.
Answer in units of m/s.
008 10.0 points
The distance between two successive crests of
a certain transverse wave is 1.42 m. Eight
crests pass a given point along the direction
of travel every 16.5 s.
Calculate the wave speed.
Answer in units of m/s.
009 10.0 points
A harmonic wave is traveling along a rope.
The oscillator that generates the wave com-
pletes 40.0 vibrations in 25.4 s. A given crest
of the wave travels 423 cm along the rope in a
time period of 12.6 s.
What is the wavelength?
Answer in units of m.
010 10.0 points
A sound wave traveling at 341 m/s is emitted
by the foghorn of a tugboat. An echo is heard
3.20 s later.
How far away is the reflecting object?
Answer in units of m.

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