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I'm stuck on this following problem.

A spring gun, held horizontally 1.6 meters above the ground, fires a 0.07 kilogram ball so that it lands a horizontal distance of 2.3 meters away. If the gun is pointed straight up, and the same ball is fired, how high (in meters) will it rise?

I know that: (Potential gravity) = (mass) x (gravity) x (height)

Also: (Spring potential) = (1/2) x (k) x (x^2)

I'm not really sure how to tie the two together...

Also, I'm thinking of using the conservation of energy formula:

(final kinetic + final potential gravity + final spring potential) = (initial kinetic + initial potential gravity + initial spring potential)

but I don't know how to get to the spring constant (k) with the given information in this problem.

Any help would be appreciated.

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# Spring gun problem without a spring constant.

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