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JEE Main Physics Class 11 Work, Energy and Power Part 2 Questions
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© examsnet.com
Question : 95
Total: 100
Two identical blocks
A
and
B
each of mass
m
resting on the smooth horizontal floor are connected by a light spring of natural length
L
and spring constant
k
. A third block
C
of mass
m
moving with a speed
v
along the line joining
A
and
B
collides with
A
. The maximum compression in the spring is
[17 Mar 2021 Shift 2]
v
√
m
2
k
√
m
v
2
k
√
m
v
k
√
m
2
k
Validate
Solution:
Let
v
is the speed of the third block
C
.
The velocity of centre of mass of
A
and
B
is
v
C
M
=
v
2
The spring is compressed maximum by
x
distance.
Using the law of conservation of energy.
1
2
m
v
2
=
1
2
m
(
v
2
)
2
+
1
2
m
(
v
2
)
2
+
1
2
k
x
2
⇒
1
4
m
v
2
=
1
2
k
x
2
⇒
x
=
√
m
v
2
2
k
⇒
x
=
v
√
m
2
k
© examsnet.com
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