Circular motion comparisons question

AI Thread Summary
When a bus of weight Fg moves over a hill and a dip with the same radius of curvature, the normal force at the hill's crest is 3/4 Fg. To find the normal force at the bottom of the dip, it is essential to understand the relationship between weight, normal force, and acceleration. The acceleration remains constant in both scenarios but acts in opposite directions. The solution indicates that the normal force at the dip's bottom is 5/4 Fg. Understanding these dynamics is crucial for solving circular motion problems.
jakeinater

Homework Statement


A bus of weight Fg is moving at a constant speed over a hill and then over a dip that has the same radius of curvature, when the bus passes over the crest of the hill, the road exerts a normal force on the bus equal to 3/4 Fg. What is the normal force the road exerts on the bus when it is passing through the bottom of the dip

Homework Equations


netF=ma a=v^2/r

The Attempt at a Solution


I have stared at this question for an hour and don't even know where to start, the answer is 5/4 Fg which seems simple but I don't know how they got that. First post so sorry for any formatting errors.[/B]
 
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Hint: The acceleration of the bus is the same in both cases, but in opposite directions, since the velocity and radius are the same. How does the weight, normal force, and acceleration relate to each other?
 
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