anonymous
  • anonymous
5. Suppose the maximum friction force between a 1100 kg car's tires and the ground is 1900 N. How fast could the car go around a circular curve of radius 230 m without skidding?
Physics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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ganeshie8
  • ganeshie8
The car's velocity is changing in direction as the car is going around a circular curve.
ganeshie8
  • ganeshie8
Change in velocity requires "force". The force that changes the direction of a body, keeping the body in circular motion, has a special name : "centripetal force". In your present problem, this centripetal force is provided by the "friction" between car tires and the road.
ganeshie8
  • ganeshie8
Keeping those things in mind, try applyig Newton's second law : \(F_{net} = ma\)

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ganeshie8
  • ganeshie8
remember the formula for the acceleration of a body in circular motion ?
anonymous
  • anonymous
\[F = mv ^{2}/r \] Where F is gunna be ur friction force of 1900 N v is gunna be your speed in meters per second r is your radius in meters, 230 m m is your car mass of 1100 kg So your only unknown is the velocity, so just rearrange the equation for velocity and plug in the numbers \[v = \sqrt{(Fr/m)}\] v = 19.93 m/s

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