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## Homework Statement

A spring is compressed a distance of 1m and a 2 kg rock is shot straight up with the spring. The rock attains a maximum height of 500m. What is the force constant k of the spring?

Use g=10m/s^2

## Homework Equations

P.E.= mgh

P.E. elastic= (1/2)(k)(x^2)

## The Attempt at a Solution

P.E.= mgh

P.E.=(2000g)(10m/s^2)(500m)

P.E.= 10000000 newtons

P.E. elastic= (1/2)(k)(x^2)

k= P.E elastic/ (1/2)(x^2)

k= 10000000/ (1/2)(1)

k=2000000 newtons ?