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?

Question

ganeshie8 · Answer

The car's velocity is changing in direction as the car is going around a circular curve.

ganeshie8 · Answer

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 · Answer

Keeping those things in mind, try applyig Newton's second law : $F_{net} = ma$

ganeshie8 · Answer

remember the formula for the acceleration of a body in circular motion ?

anonymous · Answer

$$F = mv ^{2}/r $$

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