An F-16 simulator instructor told me that it is not possible to drop the bombs of an F-16 during 9 G-forces. I was surprised by this fact and looked it up, but I couldn't find anything about this. So I was wondering if this is true and why is that the case? Is this a safety issue?
That is not a blanket truthfullness.
"Bombs" range all the way from a 25LB BDU-33 practice munition, to a 2,500LB GBU-15. Different limits may apply.
Generally speaking, with large bombs and/or fuel tanks loaded, the jet is limited to 5.5-6.5G. The FLCC (Flight Control Computer and SMS (Stores Management System) work in conjunction to control this. This can be overridden by the pilot.
Also, "9G" is variable. A flat turn is different than a dive and pull up. Or, a "9G" turn, but you're already mostly inverted. Is the munition going to release cleanly and on target?
But if you're in a situation where you need to be pulling a 9G turn, you would have ejected the munitions anyway. The thing would wallow like a whale otherwise.
Fun off-topic factoid: The F-16A/B flight and design parameters are closer to the P-51 than to the F-35.
Not likely as the pylons capable of carrying bombs, i.e. stations 3, 4, 6 and 7 are load limited to 7.5 Gs. Push beyond that and you risk structural damage with an air-to-ground loadout. It’s also possible that the fire control computer does not offer computations for weapons release beyond those load factors as well. And it would be pretty hard to get off an accurate shot using a freefall dumb bomb, straining hard like that.