What would cause a 2003 mach 1 to cut off going around a curve?

I would check the coils. Then the fuel injectors. Both parts can cause your symptoms.

cut?
what does it do.
flare or slip
fail to up or down shift correct
shift to wrong gear say 2 to 4, or 2 to 1.?
are you just cruising when this happens
or only accelerating.
or?
did you scan to the PCM for DTC errors yet?
check fluid levels.
is engine overheating,?

maybe start with the fuel filter or pump. possible screen collapsed or plugged.

On GM cars this type of problem was a sticking torque converter. The car acted like you had not engaged the clutch and the engine just died. You could restart it and drive on as long as it did not go into lockup.
Does it feel like that, or more like the idle air control valve is not raising the idle speed ?

Hi,

This is likely to be electrical related.

Your vehicle's On-board diagnostic (OBDII) computer will have stored the applicable fault codes.

Have your computer scanned by your local Mazda dealership (or approved agent) for these codes, which will immediately identify the circuit/component causing this condition.

Cheers,

The tire pressure
monitor system can be reset two ways. With the ignition position at ON, pull the interior lamps control to the ON and OFF settings three times. It can also be reset through the radio using the
following steps:
1. Turn the ignition to ACC or ON and turn the radio off.
2. Press and hold the TUNE DlSP button on the radio for at least five seconds until SETTINGS is displayed.
3. Press the SEEK SCAN up or down arrow to scroll through the main menu.
4. Scroll until TIRE MON appears on the display.
5. Press the 1 PREV or 2 NEXT button to enter the submenu. RESET will be displayed.
6. Press the TUNE DlSP button to reset. A chime will be heard to verify the new setting and DONE will be displayed for one second.
7. Once the monitor has been reset, scroll until EXIT appears on the display.
8. Press the TUNE DlSP button to exit programming. A chime will be heard to verify exit.

The system completes the calibration process during
driving. The system normally takes 15 to 20 minutes of driving
in each of three speed ranges to "learn" tire pressures. The speed ranges are 15 to 40 mph (25 to 65 km/h), 40 to 65 mph (65 to 105 km/h) and above 65 mph (105 km/h). When learning is complete, the system will alert you after two to eight minutes if a tire is 12 psi (83 kPa) different from the other three tires. Detection thresholds may be higher and detection times may
be longer on rough roads, curves and at high speeds. The system is not capable of detection at speeds greater than 70 mph (110 km/h).

Your alternator needs to be checked, if it goes bad the car will run of the battery but when the battery gets low the car will lose power and when the battery goes dead the car will just die and not restart. Did the engine even turn over when you tried to crank it if so its probably the alternator. I hope that helps you out!

If by low air air pressure, you mean the tire pressure sensor, here is the way to reset.
To reset (calibrate) the system: The tire pressure
monitor system can be reset two ways. With the ignition position at ON, pull the interior lamps control to the ON and OFF settings three times. It can also be reset through the radio using the
following steps:
1. Turn the ignition to ACC or ON and turn the radio off.
2. Press and hold the TUNE DlSP button on the radio for at least five seconds until SETTINGS is displayed.
3. Press the SEEK SCAN up or down arrow to scroll through the main menu.
4. Scroll until TIRE MON appears on the display.
5. Press the 1 PREV or 2 NEXT button to enter the submenu. RESET will be displayed.
6. Press the TUNE DlSP button to reset. A chime will be heard to verify the new setting and DONE will be displayed for one second.
7. Once the monitor has been reset, scroll until EXIT appears on the display.
8. Press the TUNE DlSP button to exit programming. A chime will be heard to verify exit.

The system completes the calibration process during
driving. The system normally takes 15 to 20 minutes of driving
in each of three speed ranges to "learn" tire pressures. The speed ranges are 15 to 40 mph (25 to 65 km/h), 40 to 65 mph (65 to 105 km/h) and above 65 mph (105 km/h). When learning is complete, the system will alert you after two to eight minutes if a tire is 12 psi (83 kPa) different from the other three tires. Detection thresholds may be higher and detection times may
be longer on rough roads, curves and at high speeds. The system is not capable of detection at speeds greater than 70 mph (110 km/h).

Almost all of the message center items are accessed through the menu on the radio. You should be able to find what you need be getting in the menu and looking around. Hope this is what you were looking for?

To reset (calibrate) the system: The tire inflation
monitor system can be reset two ways. With the
ignition position at ON, pull the interior lamps
control to the ON and OFF settings three times.
It can also be reset through the radio using the
following steps:
1. Turn the ignition to ACC or ON and turn the
radio off.
2. Press and hold the TUNE DISP button on the radio for
at least five seconds until SETTINGS is displayed.
3. Press the SEEK PTYPE up or down arrow to scroll
through the main menu.
4. Scroll until TIRE MON appears on the display.
5. Press the 1 PREV or 2 NEXT button to enter the
submenu. RESET will be displayed.
6. Press the TUNE DISP button to reset. A chime will
be heard to verify the new setting and DONE will be
displayed for one second.
7. Once the monitor has been reset, scroll until EXIT
appears on the display.
8. Press the DISP button to exit programming. A chime
will be heard to verify exit.
The system completes the calibration process
during driving.
The system normally takes 15 to 20 minutes of driving
in each of three speed ranges to “learn” tire pressures.
The speed ranges are 15 to 40 mph (25 to 65 km/h),
40 to 65 mph (65 to 105 km/h) and above 65 mph
(105 km/h). When learning is complete, the system
will alert you after two to eight minutes if a tire is 12 psi
(83 kPa) different from the other three tires. Detection
thresholds may be higher and detection times may be
longer on rough roads, curves and at high speeds. The
system is not capable of detection at speeds greater than
70 mph (110 km/h).

If you don't have the manual, you can get it in PDF format for FREE from www.mygmlink.com
GoodLuck And PEACE