The coefficient of static friction between a runners shoe an

The coefficient of static friction between a runners shoe and the ground is 0.48. if the ground exerts a 2600N verticle ground reaction force on the runner,a. what is the maximum horizontal force the runner can generate under his shoe before the shoe will start to slide and the runner may slip? b.this is an example of what type of friction. c. If the runners shoe hit the ground at 3 times his body weight 2600N) what is the maximum acceleration that this person could achieve?

Solution

a)

Maximum Horizontal force

F=u*N =2600*0.48

F=1248 N

b)

Static friciton,since the force occuring between 2 dry surfaces not moving relative to each other

c)

From Newtons second law

Forward force =Frictional force

ma_max=umg

=>a_max=ug

Maximum acceleration

a_max=u*g =0.48*9.8

a_max=4.7 m/s²