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Standard XII
Physics
Relative Velocity
The speed of ...
Question
The speed of the trolley when the man jumps off the trolley is
A
2
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B
4
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C
8
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D
16
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Solution
The correct option is
B
8
Mass of trolley=
m
=
40
k
g
Mass of the man=
M
=
80
k
g
Since no external force acts in horizontal direction, the conservation of momentum along the direction holds.
Hence
(
M
+
m
)
v
0
=
M
v
m
a
n
+
m
v
t
r
o
l
l
e
y
⟹
(
80
+
40
)
2
=
(
80
)
(
−
1
)
+
(
40
v
)
⟹
v
=
8
m
/
s
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0
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