Circular Motion of a roller coaster

AI Thread Summary
The roller coaster car experiences a net force that makes passengers feel 55% heavier at the bottom of a dip with a 24m radius. To solve for the car's speed, it's essential to analyze the forces acting on it, specifically the weight and normal force. The relationship between force, velocity, and radius in circular motion can be expressed with the equation hmg = mg + mv²/r. By substituting the known values into this equation, one can solve for the velocity at the bottom of the dip. Understanding these concepts is crucial for accurately determining the car's speed.
aligass2004
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Homework Statement



The passengers in a roller coaster car feels 55% heavier than their true weight as the car goes through a dip with a 24m radius of curvature. What is the car's speed at the bottom of the dip?

Homework Equations





The Attempt at a Solution



I have no clue as to how to start this problem.
 
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Start by drawing a free-body diagram and examining the forces acting on the car. What do you know about the net force of an object traveling in a circle?
 
The forces acting on the car are weight and the normal force. Also, the velocity is perpendicular to the force pushing inward, which is why the object remains circular.
 
aligass2004 said:
The forces acting on the car are weight and the normal force. Also, the velocity is perpendicular to the force pushing inward, which is why the object remains circular.
Correct! So, do you know a relationship between force, velocity and radius for an object traveling in a circular path?
 
I have no idea.
 
use the equation hmg=mg + mv^2/r. for example my percentage was 35% and my radius was 30m. so .35(9.8)= v^2/30 and solve for v
 

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