15.) A pendulum clock that works perfectly on Earth is taken to the Moon. Assume
ID: 1396915 • Letter: 1
Question
15.) A pendulum clock that works perfectly on Earth is taken to the Moon. Assume that the free-fall acceleration on the Moon is 1.63 m/s2.
(a) Does it run fast or slow there?
Options: (fast, slow, or neither, it runs the same as on Earth)
(b) If the clock is started at 12:00 midnight, what will it read after 13.5 h? (Enter the time to the nearest minute.)
( AM)
16.) The sinusoidal wave shown in the figure below is traveling in the positive x-direction and has a frequency of 27.1 Hz.
(a) Find the amplitude. (cm)
(b) Find the wavelength. (cm)
(c) Find the period. (s)
(d) Find the speed of the wave. (m/s)
Explanation / Answer
15)
a) the time period of a clock pendulum is given as
T = 2pi*sqrt(L/g)
on the moon as g = gearth/6
hence , the time period of pendulum will slow down ,
and the clock will run slow.
b)
let new time period is Tnew
Tnew / T = sqrt(g/gmoon)
Tnew /T = sqrt(9.8/1.63)
Tnew /T = 2.45
Now, for total time = 13.5 hours
time in clock at moon = 13.5/2.45 AM
time in clock at moon = 5.4 AM = 5 :28
the time in the clock at moon is 5:28 AM
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