Question

Rtz coordinate system

Answer 1

Due to the car goes around the trajectory without sliding, then. it is necessary that centripetal force equals the friction force.

Then, we have:

Fc = Fr

where,

Fc = m(v^2/R) centripetal force

Fr = μN = μ*m*g friction force

Then, by replacing the precious expressions we obtain:

m(v^2/R) = μ*m*g

And by solving for v:

`v=\sqrt[]{\mu\cdot g\cdot R}`

where,

μ = 1.00

g = 9.8 m/s^2

R = 70.0 m

By replacing we get: