Since the laptop starts to have the auto shut down problem after updating to Windows 7, I would suggest if we have the other empty HDD to try just installing the original OS.
now, I would suggest we give the laptop a discharge first by removing all power sources including the power adapter and battery, then pressing the power button over 15 seconds, after this discharge, we connect only the power adapter, power on the laptop again, when we just power on the laptop, get to the Bios, reset Bios default.
Then try booting the Windows7 as usual.
If the laptop still shut down, try the same process and select the boot menu when laptop powering on, run the Last Known Good Configuration, then the safe mode.
We should also install the latest mobo chipset driver for the laptop on the Windows 7, must follow by a reboot.
Then install the latest video card and other system device drivers for Windows 7 again one by one.
The latest chipset driver can give the better system integrity so letting all other components on the mobo running more smoothly and thus causing less conflict, hope this can generating less heat.
Besides, if your friend did dropped the laptop on the floor, we need to check the CPU connection on the mobo as well.
Try reseating the CPU and replace some thermal paste. Check the FAN as well.
Hope this helps.
Tech Manager, WPTinc.