THE CERTIFICATED PRIVATE PILOT AND A PASSENGER WERE ON A PERSONAL CROSS COUNRY FLIGHT AND WERE REPORTED OVERDUE. SEARCH PERSONNEL LOCATED THE ACCIDENT THE FOLLOWING DAY, AFTER RECEIVING AN ELT SIGNAL. THE AIRPLANE WAS FOUND ON THE EAST FACE OF A 4000 FOOT MOUNTAIN AT AN EELEVATION OF 3500 FEET. THE NON-INSTRUMENT RATED PILOT OBTAINED A WEATHER BRIEFING PRIOR TO THE FLIGHT IN WHICH FLIGHT PRECAUTIONS WERE FORECASTED AND VFR FLIGHT WAS NOT RECOMMENDED. THE WEATHER CONDITIONS ALONG THE ROUTE OF FLIGHT WERE REPORTED TO BE MOUNTAIN OBSCURATION, MODERATE TURBULENCE, BROKEN CEILINGS OF 1500 TO 2000 FEET WITH VARIOUS LAYERS OF CLOUDS. COASTAL CONDITIONS INCLUDED LIMITED VISIBILITIES OF 3 TO 5 MILES IN FOG AND HAZE AND SOME SCATTERED LIGHT RAIN SHOWERS. WHEN THE PILOT OPENED THE VFR FLIGHT PLAN, THE INFORMATION THAT VFR FLIGHT WAS NOT RECOMMENDED WAS AGAIN STRESSED.