Not sure if your charger is the type that shuts itself off, when something is wrong.
Does the charger have a status light ? Does it come on when you plug it into the wall ?
If not, the charger may be dead.
In any case, remove the laptop battery. '''Do not leave it in the machine'''.
If its over 2 years old, I recommend a replacement.
Try- With the battery out, plug in your charger. Will the laptop power-up ? Are any lights ON ?
The charger (assuming it still works) will power the laptop without the battery. Usually, the battery light will show red/yellow/green. PowerOn/Charging/BatteryGood/Bad
If it works, you're happy, all you need is a new battery.
If it does not work, take laptop, dead battery, and charger to the serviceman. There are several tests that can be done without dis-assembly. Before you D.I.Y. ( Do It Yourself ), search the web for "samsung laptop how to". You will find several YouTube movies.