Look at the clock and the data table below. Based on the data and on your knowledge of potential and kinetic energy, what is the BEST conclusion you can make about potential and kinetic energy?
There is always more potential energy than kinetic energy.
Potential Energy can never be 0, but you can have 0 Kinetic energy.
The total amount of energy stays the same.
The clock has the most Potential Energy at point B since it is moving the fastest.
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The maximum speed is given by
v
m
a
x
=
2
π
f
A
where
f
is the frequency of the motion
A
is the amplitude
This can be expressed as
A
=
v
m
a
x
2
π
f
On the other hand, the maximum acceleration is given by
a
m
a
x
=
(
2
π
f
)
2
A
which can be written as
A
=
a
m
a
x
(
2
π
f
)
2
The two equations for the amplitude A can be equated and get
v
m
a
x
2
π
f
=
a
m
a
x
(
2
π
f
)
2
v
m
a
x
=
a
m
a
x
2
π
f
f
=
a
m
a
x
2
π
v
m
a
x
Since we know that the period T is given by
T
=
1
f
then the equation for frequency can be used to obtain the period such that
T
=
2
π
v
m
a
x
a
m
a
x
Therefore, the period of the object undergoing SHM is
T
=
2
π
(
4.47
m
/
s
)
93.17
m
/
s
2
T
=
0.301
s
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