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JEE Advanced 2020 Full Test 4 Paper 1
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© examsnet.com
Question : 10
Total: 54
A strip of wood of mass
M
and length
ℓ
is placed on a smooth horizontal surface. An insect of mass
m
starts at one end on the strip and walks to the other end in time
t
,
moving with a constant speed.
the speed of the insect as seen from the ground is
<
ℓ
t
.
the speed of the strip as seen from the ground is
ℓ
t
(
M
M
+
m
)
the speed of the strip as seen from the ground is
ℓ
t
(
m
M
+
m
)
the total kinetic energy of the system is
1
2
(
m
+
M
)
(
ℓ
t
)
2
Validate
Solution:
Velocity of insect w.r.t. strip
=
ℓ
t
Let strip moves with speed Initial momentum was
⇒
0
=
m
(
l
t
+
v
)
+
M
v
v
=
−
m
c
∕
t
M
+
m
i.e.
m
ℓ
∕
t
M
+
m
toward left
∴
Velocity of insect w.r.t. ground
=
ℓ
t
−
m
ℓ
∕
t
M
+
m
<
ℓ
t
© examsnet.com
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