I am stuck on a problem assigned for homework: Starting from rest, a 88-kgfirefi

Question

I am stuck on a problem assigned for homework: Starting from rest, a 88-kgfirefighter slides down a fire pole. The average frictional forceexerted on him by the pole has a magnitude of 800 N, and his speed at the bottom of the pole is3.0 m/s. How far did he slide down thepole? This is very similar to problem 52 in chapter 6, but it is notworked. I am confused on how to find Wnc using 800 N. I know I mustuse the work-energy theorem to solve the problem and that work isforce multiplied by length. I just cant seem to figure out Wncbecause the length is the missing part of the problem. I am stuck on a problem assigned for homework: Starting from rest, a 88-kgfirefighter slides down a fire pole. The average frictional forceexerted on him by the pole has a magnitude of 800 N, and his speed at the bottom of the pole is3.0 m/s. How far did he slide down thepole? This is very similar to problem 52 in chapter 6, but it is notworked. I am confused on how to find Wnc using 800 N. I know I mustuse the work-energy theorem to solve the problem and that work isforce multiplied by length. I just cant seem to figure out Wncbecause the length is the missing part of the problem.

Explanation / Answer

kinetic energy at thebottom=(1/2)*m*v2=(1/2)*88*32=396 J let he slides down from a height of h m work done by friction=800*h initial potential energy=m*g*h=88*9.8*h so, 88*9.8*h=396+800*h h=6.35 m he slide the pole for 6.35 m

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