Calculating Pressure on Snowshoes from 900N Load

In summary, the conversation discusses finding the pressure on snow when a person weighing 900 N is standing on snowshoes with an area of 2500 cm^2 each. The correct calculation would be P = F/(2*A), where the area of 2 shoes should be 2*0.25 m^2. The answer key suggests 0.18 Pa, but the correct answer should be 1800 Pa.
  • #1
physgrl
138
0

Homework Statement



6. A person weighing 900 N is standing on snowshoes. Each snowshoe has an area of 2500 cm2. Find the pressure on the snow.

a. 0.18 Pa
b. 0.36 Pa
c. 1800 Pa
d. 3600 Pa

Homework Equations



P=F/A

The Attempt at a Solution



I tried doing F/(2*(A))
A=2500cm2/1002cm2 *1m2=.25
P=900/(2+.25)
P=1800

but the answer key says it it .18 instead
 
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  • #2
You have done exactly the right thing.
The area of 1 shoe = 0.25m^2
so 2 shoes = 0.5m^2 BUT IN YOUR EQUATION you have written 2 + 0.25 ! should be 2 x 0.25
This will give P = 1800Pa. I think the answer 0.18 is wrong !
 
  • #3
technician said:
You have done exactly the right thing.
The area of 1 shoe = 0.25m^2
so 2 shoes = 0.5m^2 BUT IN YOUR EQUATION you have written 2 + 0.25 ! should be 2 x 0.25
This will give P = 1800Pa. I think the answer 0.18 is wrong !

yeah .18 is wrong for sure
 

1. How do you determine the pressure on snowshoes from a 900N load?

The pressure on snowshoes can be determined by dividing the load (in Newtons) by the surface area of the snowshoes that come into contact with the snow. This will give the pressure in units of Newtons per square meter (N/m2).

2. What is the formula for calculating pressure on snowshoes?

The formula for calculating pressure is pressure = force/area. In this case, the force is 900N and the area is the surface area of the snowshoes in contact with the snow.

3. How do you measure the surface area of snowshoes?

The surface area of snowshoes can be measured by tracing the outline of the snowshoes onto a piece of paper and then using a ruler or measuring tape to measure the length and width of the traced area. Alternatively, if the snowshoes are a regular shape (e.g. circular, rectangular), the area can be calculated using the appropriate formula.

4. What units is pressure typically measured in?

Pressure is typically measured in units of Pascals (Pa) or Newtons per square meter (N/m2). However, other units such as pounds per square inch (psi) or atmospheres (atm) may also be used depending on the context.

5. Why is it important to calculate pressure on snowshoes?

Calculating pressure on snowshoes is important because it can help determine the weight distribution and potential impact on the snowpack. This information can be useful for determining the safety of using snowshoes in a particular area, as well as for understanding the ecological impact on the snow and its inhabitants.

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