Answer :

The maximum elongation of the spring is


Given


As shown in the diagram, the spring constant is given as “k”, and the mass of the block is given as “m”.


Formula Used


Using the conversation of mass, we equate the energies of spring compression and potential energy of the mass of the block, the formula of the energy stored in spring compression is



And the energy stored in the block is formulated as



where


The value of spring constant is denoted as “k”, the compression distance is “x”, the mass of the block is given as “m”, the gravity of the block is “g” and the height at which the block is kept is h.


Explanation


The h, in the potential energy of the block is given as x, equating the potential energy with the spring energy is




Now we can say that the maximum elongation of the spring 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