Answer :

The distance covered is given as


Given


The spring constant is given as k, the mass of the block is given as m, and a slide with semi circle is given as well.


Formula Used


Using the conservation of static and dynamic energy such as centripetal and kinetic energy, we have the conservation equation as



where


m is the mass of the object, v is the velocity, k is the spring constant and x is the elongation distance, R is the radius of the circular part, r is the radius of the object.


Explanation


The energy of the block in form of kinetic energy is equated with the centripetal energy of the surface making the equation as



Taking the velocity of the block in terms of radius as, placing the velocity we have



Hence, the distance covered is



Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

A balloon filled Physics - Exemplar

A rocket acceleraPhysics - Exemplar

A curved surface Physics - Exemplar

A block of mass 1Physics - Exemplar

Which of the diagPhysics - Exemplar

The kinetic energHC Verma - Concepts of Physics Part 1

Which of the diagPhysics - Exemplar

<span lang="EN-USHC Verma - Concepts of Physics Part 1

The bob of a pendHC Verma - Concepts of Physics Part 1

The magnetic forcHC Verma - Concepts of Physics Part 1