- #1

- 279

- 2

## Homework Statement

A car of mass 2000 kg rounds a circular turn of radius 20 m. If the road is flat and the coefficient of friction is 0.7 between the tires and road, how fast can the car go without skidding?

## Homework Equations

F

_{c}= m(v

^{2}/r)

## The Attempt at a Solution

I tried to find the centripetal force by doing

2000(9.8) = 19600

19600(.7) = 13720

then I plugged that into the above equation to find the velocity

13720 = 2000v

^{2}/20

^{2}

5488000/2000 = v

^{2}

2744 = v

^{2}

[itex]\sqrt{}2744[/itex] = v

v= 52.38 m/s. The correct answer is 11.7 m/s