Check the power cord and ensure it is firmly connected into the Kenmore refrigerator as well as the electrical outlet.
Reset the circuit breaker or fuse and ensure the fuse has a 15 amp time-delay to provide enough power to the refrigerator.
Ensure the temperature control knob is turned past "0" and is set at a temperature cool enough to require motor function from the refrigerator.
Wait 20 minutes and check the power on the refrigerator again, as the unit may be in a defrost cycle, which may make it seem as if it was turned off.
Contact a service professional if the above steps do not fix the problem.