In the figure shown, all surfaces are smooth and force constant of spring is `10N//m`. Block of mass (2 kg) is attaced with the spring. The spring is compressed by (2m) and then released. Find the maximum distance `d` travelled by the block over the inclined plane. Take `g=10m//s^(2)`.
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Answer

B

Explanation

In the final position, block will stop for a moment and then it will return back.
In the initial position system has only spring potential energy `1/2kx^(2)` and in the final position it has only gravitation potential energy.

Since, all surfaces are smooth, therefore mechanical energy will remain conserved.
`rArr E_(i) =E^(f)` or `1/2kx^(2)=mgh=mg(d/2)`
where `h=d sin 30^@=d/2`
`rArr d =kx^2/mg`
Substituting the values we have,
`d=((10)(2)^(2))/((2)(10)`
`=2m`