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Physics
Physics
Problem
From energy conservation principle prove the relations,
A
r
=
(
v
2
−
v
1
v
1
+
v
2
)
A
i
and
A
t
=
(
2
v
2
v
1
+
v
2
)
A
i
A_r = \left( \frac{v_2 - v_1}{v_1 + v_2} \right) A_i \quad \text{and} \quad A_t = \left( \frac{2v_2}{v_1 + v_2} \right) A_i
A
r
=
(
v
1
+
v
2
v
2
−
v
1
)
A
i
and
A
t
=
(
v
1
+
v
2
2
v
2
)
A
i
Here, symbols have their usual meanings.
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