What is the Force Due to Extension for a Particle on an Elastic String?

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SUMMARY

The discussion centers on calculating the force due to extension for a particle attached to an elastic string. The particle of mass m is connected to a light elastic string with a natural length a and modulus mg, fixed at point O. The correct formula for the force due to extension is derived as F = kL, where k is the spring constant, and the force due to extension is expressed as mgx/a. However, the inclusion of g in the formula is deemed inappropriate for a purely horizontal scenario.

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Homework Statement


A particle of mass m is attached to one end of a light elastic string of natural length a and modulus mg, the other end of the sting is attached to a fixed point O on smooth horizontal surface. The particle is released from rest at horizontal distance a+L from O.

calculate the force due to extension of string.


Homework Equations





The Attempt at a Solution


obviously one of the force will be 'mg' but force due to extension is hard to calculate. the answer for that one is mgx/a.
Also I am not sure if that modulus means young modulus
PLEASE help me
 
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The spring is stretched distance L. The force due to the stretch is
F = kL, where k is the spring constant.

The mgx/a answer you quote is unreasonable because it does not contain the amount of stretch, L, and does contain g which is not involved in a purely horizontal problem.
 
i thought so too. its seemingly unreasonable.
 

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