A child of mass 40kg running on a horizontal surface with velocity 5m/s jumps on a stationary skating bard of mass 3kg while running.calculate the velocity of the combined system of child and the skating board
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Given : M
girl
=40 kg u
girl
=5 m/s M
cart
=3 kg
Initial velocity of cart u
cart
=0
Let the final velocity of cart be V.
Applying conservation of linear momentum : P
i
=P
f
Or M
girl
u
girl
+M
cart
u
cart
=(M
girl
+M
cart
)V
Or 40×5+3×0=(40+3)V
⟹ V=
43
200
m/s
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