Answer:
The greatest acceleration the man can give the airplane is 0.0059 m/s².
Explanation:
Given that,
Mass of man = 85 kg
Mass of airplane = 109000 kg
Distance = 9.08
Coefficient of static friction = 0.77
We need to calculate the greatest friction force
Using formula of friction
[tex]F=\mu mg[/tex]
Where, m = mass of man
g = acceleration due to gravity
Put the value into the formula
[tex]F = 0.77\times85\times9.8[/tex]
[tex]F= 641.41\ N[/tex]
We need to calculate the acceleration
Using formula of newton's second law
[tex]F = ma[/tex]
[tex]a=\dfrac{F}{m}[/tex]
Put the value into the formula
[tex]a=\dfrac{ 641.41}{109000}[/tex]
[tex]a=0.0059\ m/s^2[/tex]
Hence, The greatest acceleration the man can give the airplane is 0.0059 m/s².