Foot area

Which animal will leave deeper footstep: an elephant weighing 5 tons with a total foot area of 0.5 square meters, or a gazelle weighing 10 kg and a foot area of 50 cm square?

Result

x = (Correct answer is: G)

Solution:

$$\begin{gathered} m_1=5\text{ t}\to \text{ kg}=5\cdot 1000\text{ kg}=5000\text{ kg } \\ {S}_1=0.5{\text{m}}^2 \\ {m}_2=10\text{ kg } \\ {S}_2=50{\text{cm}}^2\to {\text{m}}^2=50\mathrm{/}10000{\text{m}}^2=0.005{\text{m}}^2 \\ g=10{\text{m/s}}^2 \\ {p}_1=m_1\cdot g\mathrm{/}{S}_1=5000\cdot 10\mathrm{/}0.5=100000\text{ Pa } \\ {p}_2=m_2\cdot g\mathrm{/}{S}_2=10\cdot 10\mathrm{/}0.005=20000\text{ Pa } \\ {p}_2>p_1 \\ x=G \end{gathered}$$

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