Real and apparent weight are both terms used for the weight. Actually weight is the force by which earth is pulling us by gravitational force or force of gravity in other words the Weight of any object is the pull to that object by the force of gravity of earth. as newtons second law F=ma ;here in case of weight the force is weight and acceleration is gravitational acceleration therefore W=mg . Real weight is the actuall weight of the body i.e gravitational pull of earth to object, Apparent weight is reading of any weight measuring device when the object is at rest or moving with uniform velocity or might be accelerating ,up ,down or freely fall under only the force of gravity. https://www.elearn.gov.pk/onlinepdf/physics/11physics/chapter5/mobile/index.html#p=25