In the system shown in figure, mass
is released from rest from position (
). Suppose potential energy of
at point
with respect to point
is
. Dimensions of
are negligible and all surfaces are smooth. When mass
reaches at point (
)

Table-1 | Table-2 | ||
(A) | Kinetic energy of | (P) | |
(B) | Kinetic energy of | (Q) | |
(C) | Momentum of | (R) | |
(D) | Momentum of | (S) |
Text Solution
Verified by ExpertsA
Since there is no external force acting on system, Momentum is conserved.
Let velocity of mass
is
in left direction and velocity of mass 2 m is
in right direction

Given
wrt
.
Height of
wrt
is 

So,
Since there is no external force acting on system. Energy is conserved.


putting 



Kinetic energy of 

similarly,
momentum 
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