At start up electric motors do have to fight kinetic energy, higher friction, thicker oils and less efficiency.
That is why starting amps under the load is several times higher than running amp. If you observe air compressors - they have pressure relieve system that allows the motor to start with no pressure load and then build it gradually.
AC systems do have time delay that will not allow restart till pressure drops down. '
Starting compressor motor with pressure in the system is good way to burn it.
Than the law of physics say that if you need to deliver certain energy aka watts, when voltage drops, the amperage has to go up to compensate.
watts = volts x amps