Why it is difficult to walk on an ice covered road?
When 
you are standing still on a surface – ice, grass, sand, tarmac, road etc there are two equal 
and opposite forces acting.
(a) the downwards force of you on the road – your weight 
(vertical red arrow) and
(b) the upward force of the road on you (vertical blue 
arrow)
There is no resultant force and so you stand still.
When you want to 
walk forward you have to lean forward. As soon as you do this you are applying a backwards 
force on the surface (horizontal blue arrow) on which you are standing as well as the 
downwards force due to your weight. 
The surface exerts and equal and opposite 
force on you and it is this force that enables you to move forwards (horizontal red 
arrow).
Now if there is very low friction between your feet (or shoes) and the surface 
you can't apply much backwards force before your foot starts to slip. This means that the 
surface cannot apply much forwards force on you and so you won't be able to move 
forwards.
Icy roads have very low friction and so can't apply much force on you 
before you slip and so it is difficult to walk.