Maximum speed of a car on the bridge

AI Thread Summary
The maximum speed of a car on a bridge with a circular arc of radius 300 m is determined by the balance between centripetal force and gravitational force. When the normal force is zero, the car will lose contact with the surface. This occurs when the centripetal acceleration equals gravitational acceleration. To find the maximum speed, the equation v²/r = g can be used, where v is the speed, r is the radius, and g is the acceleration due to gravity. Understanding these forces is crucial for solving the problem effectively.
wal33d
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the vertical cross section of a bridge is a circular arc of radius 300 m. what is the maximum speed at which the car will not leave the surface while passing at the top of the bridge?

i just can't seem to understand where to go with this problem
help please!
 
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Hi wal33d, welcome to PF.
When the normal reaction from the ground is greater than the weight of the car, it will leave the ground. In the curved surface, the normal reaction is due to the centripetal force.
 


rl.bhat said:
Hi wal33d, welcome to PF.
When the normal reaction from the ground is greater than the weight of the car, it will leave the ground. In the curved surface, the normal reaction is due to the centripetal force.

When the car leaves the ground, the normal force is 0. The normal force is 0 when the centripetal acceleration of the car is equal to the acceleration of gravity.
 


Yes.
 

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