
318 Classical Mechanics
© 2010 Taylor & Francis Group, LLC
Solving Equations 10.18 and 10.19 for
, we obtain
′
=
+
v
emv
2
1
2
1()sin
θ
.
We can also solve Equations 10.18 and 10.19 for
:
′
=−
−
vv
M
11
2
2
sin
θ
.
10.2 SCATTERING CROSS SECTIONS AND RUTHERFORD SCATTERING
Most scattering events of signicance involve motion in three dimensions, and this adds consider-
ably to the complexity of the analysis. A typical experimental arrangement is shown schematically
in Figure 10.3. A collimated beam of particles of mass m
1
is incident upon a xed scattering target
of mass m
2
. During scattering, the interaction is sampled over a wide range of dista ...