# Ball and Spring mechanics

A ball with a mass ($$m$$) of $$30\text{ kg}$$, is placed on top of a frictionless hill at a height ($$h$$) of $$5\text{ m}$$. How much will the spring at the bottom of the hill be displaced in order to stop the ball if the spring constant ($$k$$) is $$30 \frac{N}{m}$$?

Note: $Assume \space g = 10 \frac{m}{s^2} \\ U_{spring} = \frac{1}{2} k x^2 \\ U_{potential} = mgh$

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