There is relatively little empty space between atoms in solids and liquids, so that the average density of an atom is about the same as matter on a macroscopic scale—approximately 103 kg/m3. the nucleus of an atom has a radius about 10−5 that of the atom and contains nearly all the mass of the entire atom.
(a)what is the approximate density (in kg/m3) of a nucleus?
in kg/m3

Explanation:

It is given that,

Mass of the car, m = 1200 kg

Radius of circular path, r = 84 m

The coefficient of static friction between tires and road is 0.60

Static friction is given by :

..............(1)

When an object is moving in a circular path, the centripetal force will act on it. It is given by :

Let v is the maximum speed of the car. From equation (1) and (2) as :

g = acceleration due to gravity

v = 22.22 m/s

or

v = 22 m/s

Hence, this is the required solution.