NUMERIC RESPONSE
A block of mass m starts from rest with spring unstretched on a rough incline. Force constant of spring
, coefficient of kinetic friction,
. What is the speed (in
) of the block when it has slide a distance
down the incline? 
Text Solution
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NUMERIC RESPONSE
(2)
From CWE theorem,
Work done by gravity,

Work done by frictional force,


Work done by spring force




........(i)
Note that we have not counted elastic potential energy of spring in
. Instead, we have counted work done by spring in
. We can write the above equation in another ways.


or 
(ii)
We have assigned initial position of block as reference level.
Mathematically equs. (i) and (ii) are same.
On inserting numerical values in eqn. (i) or (ii), we obtain
.
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