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Physics
Physics
Problem
The total mechanical energy
E
(
t
)
E(t)
E
(
t
)
of a lightly damped oscillator having initial energy
E
0
E_0
E
0
decreases with time
t
t
t
according to a)
E
0
e
−
(
β
t
)
2
E_0 e^{-(\beta t)^2}
E
0
e
−
(
β
t
)
2
b)
E
0
e
−
4
β
t
E_0 e^{-4\beta t}
E
0
e
−
4
β
t
c)
E
0
e
−
2
β
t
E_0 e^{-2\beta t}
E
0
e
−
2
β
t
d)
E
0
e
−
β
t
E_0 e^{-\beta t}
E
0
e
−
β
t
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