Circular Motion and maximum speed Problem

[thanlong01]

The problem is like this: It's a beautiful spring day so you decide to take a cruise in your fancy new 1200 kg convertible. While driving, you notice a sign that says "Warning! Flat level curve with radius 45m. Coefficient of static friction for all tires us = 0.50'' With your knowledge of physics:
a) What is the maximum speed that you can safely negotiate the curve (without sliding)?

b) what is your centripetal acceleration at this speed around the curve?

c) What is the angular momentum of your car doing the speed limit around this curve?


The equation sheet is attached.


I tried to solve the problem but i m not sure it's right or not.

Here is my attempt:
a)
Ffriction = m v^2 r
r u m g = m v^2
v = sqrt (r u g)
v = sqrt (45 * 9.8 * 0.0127) //0.0127 -> I converted u from "in" to "meter"
v = 2.37m

b) a = v^2 / r
a = (2.37)^2 / 45 = 0.124 m/s^2

and that what i get so far.. i don't know how to do C

 

[Doc Al]

Here is my attempt:
a)
Ffriction = m v^2 r
r u m g = m v^2
v = sqrt (r u g)
v = sqrt (45 * 9.8 * 0.0127) //0.0127 -> I converted u from "in" to "meter"
v = 2.37m

μ_s is a dimensionless coefficient. It has no units. In this problem, μ_s = 0.50, not 0.50 inches.