You can keep this thread - it is still hardware, and we are not yet sure it is all a different problems.

because i have a feeling that i changed the monitor from PCI too PCI-E

Normally, you do not have to change those.

Last night i took everything out, ram, cpu, psu, gpu and motherboard... ...and it worked the power is now holding and is lasting.

Was that with a monitor connected? Did it boot all the way to the Desktop?

When i have pluged in my monitor, it does not respond "No signal Input" keeps flashing up.

Before pulling your hair out, make sure the monitor works by trying it on another computer. Likewise, try another monitor on your computer. This will eliminate, or point to the monitor as the problem.

No beeps could be just the internal speaker is not hooked up.

Got some great news, i have been able to type this from my own computer instead of my moms.

I found out how to reset my bios, by removing the motherboards battery and moving the Jumper and waiting an hour.

Now my comp is maintaining its power, and the monitor is working.

I just what to say a VERY BIG THANK YOU to you Digerati you have been a great help.

That's great you got it going - I had to go back and see if resetting the BIOS was mentioned earlier. It was not, but the symptoms did not point to that until you started talking about not being able to get into the BIOS. I caution that this may be temporary as it does not explain the "pop" sound you heard - assuming you are 100% sure the sound came from within the case. My guess is one of your capacitors popped just enough to make a noise and cause the computer to shut down. That device is now in a weaken state and is likely to start leaking over the next few weeks or months, resulting in unexplained reboots and freezes. Start saving your allowance.

I recommend you do a couple things immediately - backup your data. Then, replace the battery. They are usually $2 at your local battery/camera/watch counter.

reset my bios, by removing the motherboards battery and moving the Jumper and waiting an hour

While what you did worked, I am afraid your method was incorrect. For future reference, you only have to do one or the other, remove the battery (for about 1 minute, not 1 hour) or you move the jumper for a split second, then move it back.

This works because of the physical properties of CMOS (complementary metal–oxide–semiconductor) memory modules - they must have power applied to remember their programming. Remove the power, and almost instantly, they go blank. So removing the battery removes the power. However, capacitors in the circuit not only filter the current, they act as voltage storage devices too. Fortunately, they cannot "hold a charge" like a battery - they have a quick "decay rate" and the voltage leaks away in a few seconds, usually less than 15 - 20 seconds.

Capacitors can also be discharged instantly by shorting them momentarily to ground, and that is what moving the jumper for a second does. The jumper instantly shorts the capacitor to ground discharging the capacitor thus removing the holding current on the CMOS so it instantly forgets its programming (date/time, drives, custom settings, etc).

With the CMOS now "reset" the BIOS reverts back to the defaults as set by the motherboard maker's BIOS program.

I also recommend you get an UPS with AVR, automatic voltage regulation. Surge and spike protectors are little more than fancy and expensive extension cords. ALL computers should be on an UPS with AVR. And note that backup power during a power outage is only the icing on the cake - feeding your computer solid, clean power is the main part.