Pressure applied to the ground by a man standing on stilts

In summary, the pressure applied to the ground by a 52 kg man standing on square stilts measuring 0.06 m on each edge is 207100. The number of stilts used does not affect the pressure, as it is an intensive variable. The total force is mg and the total area is 2*0.06^2. The weight of the stilts is assumed to be negligible in the calculation.
  • #1
sebastian281172
3
0
Homework Statement
How much pressure is applied to the ground by a 52 kg man who is standing on square stilts that measure 0.06 m on each edge?
Relevant Equations
p=(F/A)
Homework Statement: How much pressure is applied to the ground by a 52 kg man who is standing on square stilts that measure 0.06 m on each edge?
Homework Equations: p=(F/A)

P = (F/A)
= (52*9.81)/(.06^2)
= 207100
 
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  • #2
How many stilts is he using?
 
  • #3
it doesn't matter because of it all factors back to the equation on top.

Ex. ((ab)/2 + (ab)/2)/c

= (2ab/2)/c
= ab/c
 
  • #4
Pressure is an intensive variable. You don't add the pressures. Forces are additive, pressures are not. The total force is mg, the total area is 2*0.062.

<< Solution deleted by a Mentor >>
 
Last edited by a moderator:
  • #5
ohh thanks, i didn't know that
 
  • #6
sebastian281172 said:
Homework Statement: How much pressure is applied to the ground by a 52 kg man who is standing on square stilts that measure 0.06 m on each edge?
Homework Equations: p=(F/A)

P = (F/A)
= (52*9.81)/(.06^2)
= 207100

There are normally two stilts, are there not? The stilts themselves must weigh something.
 
  • #7
PeroK said:
There are normally two stilts, are there not? The stilts themselves must weigh something.
I'd think that if it asks for what pressure the man is applying to the ground, the stilts are probably treated as negligible to the solution.
 
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  • #8
CardiniPanini said:
I'd think that if it asks for what pressure the man is applying to the ground, the stilts are probably treated as negligible to the solution.
Which is a dubious assumption, IMO. Unless you specify ultra lightweight stilts, perhaps.
 

1. How does the pressure applied by a man standing on stilts differ from that of a man standing on the ground?

The pressure applied by a man standing on stilts is greater than that of a man standing on the ground. This is because the weight of the man is distributed over a smaller surface area when standing on stilts, resulting in a higher pressure being exerted on the ground.

2. Does the height of the stilts affect the pressure applied to the ground?

Yes, the height of the stilts does affect the pressure applied to the ground. The taller the stilts, the greater the pressure will be, as the weight of the man is distributed over a smaller surface area.

3. How does the weight of the man affect the pressure applied to the ground when standing on stilts?

The weight of the man directly affects the pressure applied to the ground when standing on stilts. The heavier the man, the greater the pressure will be, as more force is exerted on the stilts and subsequently on the ground.

4. Can the pressure applied by a man on stilts cause damage to the ground?

Yes, the pressure applied by a man on stilts can potentially cause damage to the ground. If the ground is not strong enough to support the pressure exerted by the stilts, it may crack or sink, leading to damage.

5. How does the surface area of the stilts affect the pressure applied to the ground?

The surface area of the stilts plays a significant role in determining the pressure applied to the ground. The larger the surface area, the more evenly distributed the weight of the man will be, resulting in a lower pressure being exerted on the ground.

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