73. We apply the conservation of linear momentum to the
x
and
y
axes respectively.
11
1
2 2
2
1
2
cos
cos
0
sin
sin
if
f
ff
mv
θθ
=+
=−
We are given
5
2
1.20 10 m/s
f
v
=×
,
1
64.0
θ
=°
and
2
51.0 .
Thus, we are left with two
unknowns and two equations, which can be readily solved.
(a) We solve for the final alpha particle speed using the
y
momentum equation:
()
(
)
5
22
2
5
1
16.0
1.20 10 sin 51.0
sin
4.15 10 m/s
4.00 sin 64.0
f
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Momentum

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