Power is the rate at which energy is transferred, which means the energy transferred per second. It is measured in watts (W). One watt is a transfer of one joule each second, so 1 W = 1 J/s. A kilowatt (kW) is 1000 W.
A 60 W lamp transfers 60 J every second. A heater with a power of 2 kW transfers 2000 J every second. A device with a higher power rating transfers energy faster than one with a lower rating.