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

AI Thread Summary
The discussion focuses on whether a man and woman walking on different surfaces will slip due to friction. The man experiences a friction coefficient of 0.55 on carpet, resulting in a frictional force of 550N, while the woman on a tiled floor with a coefficient of 0.18 has a frictional force of only 180N. The calculations indicate that the woman is more likely to slip due to the significantly lower friction on the tiled surface. A force diagram was created to visualize the forces at play, but there is uncertainty about the accuracy of the solution. Ultimately, the conclusion is that the person on the tiled floor will slip.
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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.
 
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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.
 
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