Getting wrong answer on physics problem

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To find the normal force at the top of the loop for a bead sliding without friction, first calculate the bead's speed at point A using energy conservation principles. The normal force cannot simply be equated to the gravitational force, as the bead's acceleration must also be considered. Apply circular motion dynamics to determine the necessary normal force, factoring in both gravity and radial acceleration. Double-check calculations and unit conversions to avoid errors, and consider using a free body diagram for clarity. Persistence and practice are essential for mastering physics problem-solving.
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A bead slides without friction around a loop-the-loop. The bead is released from height of 25.1m from the bottom of the loop-the-loop which has a radius of 9m. THe acceleration due to gravity is 9.8 m/s^2. There is a point A at the very top of the loop. I need to know the normal force(Fn) at that point if the mass is 3 g. I converted the 3 g to kg and then tried to solve. I set Fn-mg=0 so Fn=mg. So I took 0.003 and multiplied by 9.8m/s^2 but got the answer wrong.
 
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srhly said:
I set Fn-mg=0 ...
Why?

F = mg gives you the force that gravity exerts on the bead. Why would you think that would be equal to the force that the loop exerts on the bead after the bead has accelerated down the track and halfway around the loop?

Use energy considerations to figure out the speed of the bead when it reaches point A.

Then use circular motion (radial acceleration) and gravity to determine the normal force necessary to keep the bead moving along its circular path.

Look at Logistics' question for more ideas:
https://www.physicsforums.com/showthread.php?t=69254
 
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It is possible that you made a mistake in your calculation or conversion of units. It is important to double check your work and make sure you are using the correct units throughout your calculation. Additionally, it may be helpful to draw a free body diagram to visually understand the forces acting on the bead at point A. This can also help identify any errors in your calculation. If you are still having trouble, it may be beneficial to consult with a classmate or your instructor for clarification and guidance. Remember, practice and persistence are key in solving physics problems. Keep trying and don't get discouraged!
 
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