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Physics
Physics
Problem
Two particles perform simple harmonic motion along parallel lines. For particle 1:
m
1
=
0.20
kg
m_1 = 0.20\,\text{kg}
m
1
=
0.20
kg
,
ω
1
=
4
rad s
−
1
\omega_1 = 4\,\text{rad s}^{-1}
ω
1
=
4
rad s
−
1
,
A
1
=
5
cm
A_1 = 5\,\text{cm}
A
1
=
5
cm
. For particle 2:
m
2
=
0.40
kg
m_2 = 0.40\,\text{kg}
m
2
=
0.40
kg
,
ω
2
=
3
rad s
−
1
\omega_2 = 3\,\text{rad s}^{-1}
ω
2
=
3
rad s
−
1
,
A
2
=
4
cm
A_2 = 4\,\text{cm}
A
2
=
4
cm
. Calculate the ratio of their total mechanical energies
E
1
:
E
2
E_1:E_2
E
1
:
E
2
.
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