Will the man and woman walking on different surfaces slip due to friction?

[Ayanda]

Homework Statement

F a man and a woman walk on a surface horizontally and create an 80° angle and 1000N ground reaction force on their leg. If the friction coefficient of the carpet is μ=0.55, and friction coefficient of a tiled floor, μ=0.18 will they slip? Show working to your answer. Can someone please help me with this many thanks!

Homework Equations

Will they slip? prove your answer.[/B]

The Attempt at a Solution

mgsin(80)=1000N
Ff=μN
1000x0.55
Ff=550Nsecond: mgsin(80)=1000
1000x0.18

=180N

There is less friction on the tiled floor therefore the person walking on it will slip.

 

[jedishrfu]

Have you drawn a force diagram?

 

[Ayanda]

Yes l have. The diagram l drew shows a force of 1000N being exerted diagonal against the floor, but I'm not 100% convinced this is the solution.