Motion and force along a curved path

AI Thread Summary
The discussion centers on calculating the speed of a car navigating a curved exit ramp with a radius of 82 meters, where a 76 kg passenger exerts a force of 220 N to avoid sliding. The initial attempt used the formula v=2(3.14)r/t, but the time variable is unknown. A more effective approach involves applying Newton's second law, F=m*a, and recognizing that the centripetal acceleration can be expressed as a=V²/R. By rearranging these equations, the speed can be calculated directly from the known force and radius. This method provides a clearer path to finding the car's speed without needing the time variable.
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Homework Statement



A car speeds along the curved exit ramp of a freeway. The radius of the curve is 82 m. A 76 kg passenger holds the arm rest of a car door with a 220 N force to keep from sliding across the front seat of the car. (Assume the exit ramp is not banked and ignore friction with the car seat.) What is the car's speed?

Homework Equations



v=2(3.14)r/t
u(static)=v^2/rg

The Attempt at a Solution



I tried to use the v=2(3.14)r/t formula but I don't know the time. I'm not sure what else to try.
 
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a18c18 said:

Homework Statement



A car speeds along the curved exit ramp of a freeway. The radius of the curve is 82 m. A 76 kg passenger holds the arm rest of a car door with a 220 N force to keep from sliding across the front seat of the car. (Assume the exit ramp is not banked and ignore friction with the car seat.) What is the car's speed?

Homework Equations



v=2(3.14)r/t
u(static)=v^2/rg

The Attempt at a Solution



I tried to use the v=2(3.14)r/t formula but I don't know the time. I'm not sure what else to try.

You would do better to work from the 220N force on the individual.

F=m*a since this is also equal to mV2/R you know that a = V2/R ... Calculate a. Calculate V.
 
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