Answer:
The value of x is
The value of the velocity at the top is
Explanation:
The diagram of this process is on the first uploaded image
From the question we are told that
The mass of the block is
The distance of compression is
The force constant is
The radius of the circular track is
The speed at the bottom of the track is
The frictional force experienced is
Now looking at this process we see that the potential energy of the spring is been transformed into the kinetic energy of the block . So,
mathematically i.e
Making x the subject of the formula
The average workdone by friction is
Here
The kinetic energy at the bottom is
The potential energy gained at the top of the circle is
Here h is the height which is equal to d(diameter) = 2r = 2 × 1 = 2 m and
g is acceleration due to gravity
Now substituting values
Since energy is can not be created nor destroyed but transformed according to first law of thermodynamics