Do I/Should I need to use any drivers or application software to get it working i.e. Arduino App??
It is possible that the other PCs are respecting the USB protocol, which is to only provide 100mA of current to a device that isn't enumerated (and hasn't asked for more). Assuming it's Windows on the PCs, you might try setting up the Uno's "driver" so that Windows knows it wants 500mA.
In a car, it is most likely a power issue. It would be very helpful to provide a schematic (even hand drawing) of what hardware you have connected and how.
Also, you might as well post your code (between [