Not if the furnace exceeds 5000 watts.
A 1000 watt generator cannot run a 1500 watt ceramic heater without having problems.
Most hair dryers are rated at least 800 watts to as much as 1875 watts. Given that, a 500 watt generator will NOT run a hair dryer. You would need at least a 2000 watt generator, just be be on the safe side.
The average size water tank is 4500 watts. The generator's supply will be large enough to operate the water tank. Larger tanks over 5000 watts will not heat correctly.
The sizing of the generator is dependant on the size of the electric motor driving the mixer.
A 7000 watt generator us typically intended for 2 - 15 or 20 amp circuits at 120 volts or 1 - 30 amp circuit at 240 volts. When you say, "power a house," if you mean the whole house the answer is, No. You would need a generator capable of supplying a continuous 24000 watts or more to do that. But a 7000 watt generator is a nice one for powering some lights and your gas furnace blower during a power outage when properly connected. I do not know what the wattage is of an electric furnace to know if it can run one of those.
A 1500 watt generator will do fine.
Check the wattage of the blow dryer and add 500 watt. This will be the size of generator you will need to use.
It could run a 7-HP motor but the voltage has to be right.
To answer this question the voltage of the pump must be stated.
you need to get a lot of horses