A block of mass 15.0 kg slides from rest down a frictionless 34.0° incline and is stopped by a strong spring with k = 2.90 ✕ 104 N/m. The block slides 3.00 m from the point of release to the point where it comes to rest against the spring. When the block comes to rest, how far has the spring been compressed?

Spring is compressed by 0.158 m  

Explanation:

We have given mass of the block m = 15 kg

Angle of inclination

It is given that block slides 3 m from point of release

So height

Potential energy will be equal to

Spring constant

This potential energy will be equal to energy stored in spring

So

So spring is compressed by 0.158 m

mistakes are ok