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REF. Image
Let the displacement of block be
s. Then,
work force = −f
s
.s
consider the FBD
2Mg−T=2mg ____ (i)
T−μmg=ma
⇒T−
2
mg
=ma ___ (ii)
Adding (i) and (ii), we get
3ma=
2
3mg
a=g/2
To find displacement at v = 10 m/s
Applying 3
rd
eq
n
of motion,
v
2
−u
2
=2as
⇒(100)−0=2×
2
g
s
⇒s=
g
100
=
10
100
=10m
work-done by friction = (−
2
mg
)s
=−
2
10
×10=−50J
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