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A person's weight is 51kg. The gravitational force is 9.8 m/s². One snowshoe has a surface area of 0.2m2. The pressure applied when standing on (A) one snowshoe and (B) both snowshoes is 2.499 kPa.

Explain your work.

1 Answer

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Explanation:

To calculate the pressure applied when standing on the snowshoes, we need to use the formula:

pressure = force / area

where pressure is in Pascals (Pa), force is in Newtons (N), and area is in square meters (m^2).

We can calculate the force by multiplying the weight of the person by the gravitational force:

force = weight x gravitational force

force = 51 kg x 9.8 m/s^2

force = 499.8 N

For part (A), when standing on one snowshoe, the pressure is:

pressure = force / area

pressure = 499.8 N / 0.2 m^2

pressure = 2499 Pa

To convert Pa to kPa, we divide by 1000:

pressure = 2499 Pa / 1000

pressure = 2.499 kPa

Therefore, the pressure applied when standing on one snowshoe is 2.499 kPa.

For part (B), when standing on both snowshoes, the pressure is the same as the pressure on one snowshoe since the weight is distributed evenly between them. Therefore, the pressure applied when standing on both snowshoes is also 2.499 kPa.

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