Minumum velocity when entering a loop?

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To determine the minimum speed required for an object to complete a loop with a 2-meter diameter, it is essential to consider the forces acting on the object at the top of the loop. The gravitational force must be balanced by the centripetal force, which leads to the conclusion that the minimum speed at the top of the loop should be at least 5 m/s to maintain circular motion. Additionally, applying conservation of energy principles from the bottom to the top of the loop confirms that the object must have sufficient kinetic energy to convert into potential energy. The correct answer to the minimum speed question is therefore 5 m/s. Understanding these principles is crucial for solving similar physics problems involving loops and motion.
davidpac
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A small object goes down a ramp and through a loop with a 2 metre diameter. In order to complete the loop, what is the minimum speed the object must have when reaching the bottom of the ramp? (consider there is no friction)

a) 5 m/s
b) 0 m/s
c) 3 m/s
d) 7 m/s


I'm a bit clueless on this one, I think a minimum speed has to be stronger then the gravity force, but non of those values make sense to me.
 

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Use (a) Fnet = ma at the top of the circle and
(b) conservationof energy at top and bottom of the circle.
 

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