## Fundamentals of Physics Extended (10th Edition)

Published by Wiley

# Chapter 8 - Potential Energy and Conservation of Energy - Problems - Page 204: 24

#### Answer

$0.1m$

#### Work Step by Step

As we know that $P.E=\frac{1}{2}kx^2$ but $P.E=mgh$ $mgh=\frac{1}{2}kx^2$ here in our case $h=0.4+x$ Thus putting the values, we get $2(9.8)(0.4+x)=\frac{1}{2}(1960)x^2$ $7.84+19.6x=980x^2$ $980x^2-19.6x-7.84=0$ after solving it, we get $x=0.1$m

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