The alarm at a fire station rings and a 87.5-kg fireman, starting from rest, slides down a pole to the floor below (a distance of 4.10 m). Just before landing, his speed is 1.75 m/s. What is the magnitude of the kinetic frictional force exerted on the fireman as he slides down the pole?

Respuesta :

Answer:

[tex]F_f=840N[/tex]

Explanation:

From the question we are told that

Weight of fireman [tex]W_f= 87.5kg[/tex]

Pole distance [tex]D=4.10m[/tex]

Final speed is [tex]V_f 1.75m/s[/tex]

Generally the equation for velocity is mathematically represented as

[tex]v^2 = v_0^2 + 2 a d[/tex]

Therefore Acceleration a

[tex]a'= v^2 / 2 d[/tex]

[tex]a'= 0.21m/s^2[/tex]

Generally the equation for Frictional force [tex]F_f[/tex] is mathematically given as

[tex]F_f=m*a[/tex]

[tex]F_f=m*(g-0.21)[/tex]

[tex]F_f=87.5*(9.81-0.21)[/tex]

Therefore

[tex]F_f=840N[/tex]