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Question #149026
A 1500 kg VW is heading 40 m/s in a straight line. A 4000 kg Cadillac is heading
directly for it at 60 m/s. Find the velocity (magnitude and direction) of the center of
mass.
Expert's answer
V
=
m
2
v
2
−
m
1
v
1
m
1
+
m
2
V
=
(
4000
)
(
60
)
−
(
1500
)
(
40
)
1500
+
4000
=
32.7
m
s
V=\frac{m_2v_2-m_1v_1}{m_1+m_2}\\V=\frac{(4000)(60)-(1500)(40)}{1500+4000}=32.7\frac{m}{s}
V
=
m
1
+
m
2
m
2
v
2
−
m
1
v
1
V
=
1500
+
4000
(
4000
)
(
60
)
−
(
1500
)
(
40
)
=
32.7
s
m
Direction is direction of motion of cadillac.
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