push out solenoid force-distance problem

I want to purchase a push out solenoid for throwing stuff into air and need help deciding the best one…
I want to push 4kg of load into air at 90degress starting from rest to a height of atleast 3 metres.
How much force(in newtons ) would that need ?
Also if you could explain the method you used to calculate this ?
Thanks 🙂

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