Given,
Masses=5kg,2kg
So,
Let x be the extension when t kg leaves the contact.
kx=2g
x= k
2g
= 2
1
m
So, by the law of conservation of energy for 5kg mass
mgx= 2
1
(x 2
+mv 2
)
= 2
1
x 2
+ 2
mv 2
⇒ 2
2mgx−x 2
= 2
mv 2
v= 2gx− m
kx 2
= 2× 2
101
− 5
40
× 4
1
=2 2
m
THus, the value of x is =2 2
m
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