- #1

- 5

- 0

**Centripetal Force Question**

## Homework Statement

The question, straight from the book:

What is the maximum speed with which a 1050-kg car can round a turn of radius 70 m on a flat road if the coefficient of friction between tires and the road is 0.80? Is this result independent of the mass of the car?

What I know:

Mass(m): 1050-kg

Radius(r): 70 m

Coefficient of friction: 0.80

## Homework Equations

[tex] a_c [/tex] = v^2/r

[tex] F_c [/tex] = mv^2/r

[tex] F_n [/tex] = mg

[tex] F_f [/tex] = MF_n

## The Attempt at a Solution

First, I drew out the free-body diagram,with a circle and a box, which is supposed to be the car. I put [tex] a_c [/tex] on an arrow pointing to the middle, and V tangent to where the box is. I found out the normal force,

[tex] F_n = mg [/tex]

[tex] F_n = (1050)(9.8) [/tex]

[tex] F_n =10290 [/tex]

And after that, I have no idea what to do to find the velocity...

Last edited: