Final answer:
The question pertains to the concept of apparent weight on a roller coaster going through a dip, intending to calculate the centripetal force that results in a 52% increase in the passengers' weight; however, it seems essential information to solve the problem is missing.
Step-by-step explanation:
The question is regarding the apparent weight of passengers on a roller coaster as it goes through a dip with a radius of curvature of 34 meters, whereby they experience a 52% increase in weight. Given that the apparent weight is the normal force felt by the passengers and this is essentially a question about centripetal force and acceleration, we can deduce the appropriate answer by understanding the relationship between these forces in circular motion.
Apparent weight increase signifies that the centripetal force required to keep the passengers in circular motion at the dip is adding onto their actual weight due to gravity. This means the apparent weight is 1.52 times the actual gravitational weight. Given that the question doesn't provide the actual speed or weight of the passengers, it seems there might be some information missing to calculate the centripetal force and hence the apparent weight directly.