There are two observers A and B, observer A is fixed to the smooth plank and observer B is standing on
smooth horizontal ground. The plank is accelerated with constant acceleration and a block (C) is placed on it
then
Smith
OA
B
20
SIIT:h
(A) Momentum of block C is conserved as seen by observer A
(B) Momentum of block C is conserved as seen by observer B
(C) Net force on plank is zero as seen by observer A.
(D)
Net force on plank is non-zero as seen by observer B
Answers
Answer:
ANSWER
Decide system: Block and plank
Observation: No external force acting on system in horizontal direction
Conclusion: Linear momentum of the system will be conserved.
As friction in kinetic nature and system.
When relative sliding between block and trolley stops, velocity (V).
Problem solving: Using conservation of linear momentum in horizontal direction.
mν
0
+0=(m+M)V⟹V=
(m+M)
mν
0
(i)
Now using WE theorem from ground frame.
W
ext
+W
int
=δK
W
ext
=0
W
int
=W
friction
=−fx=−μmgx
0=(−μmgx)=(
2
1
(m+M)V
2
−
2
1
mν
0
2
) (ii)
From (i) and (ii), relative distance of sliding
x=
2(1+
M
m
)μg
ν
0
2
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