Starting from rest, a 88-kg firefighter slides down a fire pole. The average frictional force exerted on him by the pole has a magnitude of 800 N, and his speed at the bottom of the pole is 3.2 m/s. How far did he slide down the pole?

Respuesta :

Answer:h=7.22 m

Explanation:

Given

mass of firefighter [tex]m=88 kg[/tex]

Frictional Force [tex]F=800 N[/tex]

average speed at bottom [tex]v=3.2 m/s[/tex]

Let h be the height of Pole

net force on Firefighter is

[tex]F_{net}=88\times 9.8-800=62.4[/tex]

therefore net acceleration is

[tex]a_{net}=\frac{62.4}{88}=0.709 m/s^2[/tex]

using [tex]v^2-u^2=2ah[/tex]

here [tex]v=3.2 m/s[/tex]

[tex]u=0[/tex]

[tex](3.2)^2-0=2\times 0.709\times h[/tex]

[tex]h=\frac{10.24}{1.418}[/tex]

[tex]h=7.22 m[/tex]