A 23.9 kg mass has a 3i−2jms velocity and a 21.3 kg mass has a 3i−10jms velocity. What is the magnitude of the total momentum of the two masses?
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Answer:
please have a look at the fallowing details.
Explanation:
→
P
1
=
m
1
⋅
→
v
1
→
P
1
=
23.9
⋅
(
3
i
−
2
j
)
=
71.7
i
−
47.8
j
→
P
2
=
m
2
⋅
→
v
2
→
P
2
=
21.3
(
3
i
−
10
j
)
=
63.9
i
−
213
j
Σ
→
P
=
→
P
1
+
→
P
2
Σ
→
P
=
71.7
i
+
63.9
i
+
(
−
47.8
j
−
213
j
)
Σ
→
P
=
135.6
i
−
260.8
j
total momentum vector
P
=
√
(
135.6
)
2
+
(
−
260.8
)
2
magnitude
P
=
√
18387.36
+
68016.64
P
=
293.95
k
g
⋅
m
s
−
1
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