First check for 120 v electricity getting to the water heater (Hot water doesn't need heating) There usually is a switch in the RV to turn on electric element and a second one in the outside water heater hatch. The second switch is usually turned off at time of winterizing to prevent the inside switch getting flipped when tank is empty, burning out the element. Of course also reset circuit breaker in the power panel.
To check the electric element, use an ohmmeter to check resistance. If it's burned out, the reading will be approximately the answer to this equation:
R = (V x V) / P [Where V is the voltage powering the element, P is the power the element uses (in watts) and R is the resistance in ohms.
If the reading is lower (or 0.0) the element is bad. If it's too high, it's going bad.
Very likely your thermostat (on the heater tank) is going bad. Check out the steps in this troubleshooting guide to be sure:
http://trekin.digital-digs.net/Share...ban%20V1.1.pdf