Question - Calculating Pressure Exerted by a Tourist on Snow

Solution:

The pressure \( P \) can be calculated using the relation:

\[ P = \frac{F}{A} \]

where:

\( F \) is the force exerted by the tourist, and

\( A \) is the total contact area of the snow-shoes with the snow.

The force exerted by the tourist due to gravity (weight) is:

\[ F = m \cdot g \]

The mass \( m \) of the tourist is given as 60 kg, and gravitational force \( g \) is 10 N/kg, so:

\[ F = 60 \text{ kg} \cdot 10 \text{ N/kg} = 600 \text{ N} \]

The total area \( A \) is given as 0.6 m².

Now we can calculate the pressure \( P \):

\[ P = \frac{600 \text{ N}}{0.6 \text{ m}^2} = 1000 \text{ Pa} \]

So, the correct answer is:

\( \boxed{D. 1000 \text{ Pa}} \)

CamTutor

In regards to math, we are professionals.

appstoreappstore

Get In Touch

Email: camtutor.ai@gmail.com

Copyright © 2024 - All right reserved