Foot area

Which animal will leave a 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?

Correct answer:

x = G

Step-by-step explanation:

$$\begin{gathered} m_1=5\text{t}\to \text{kg}=5\cdot 1000\text{kg}=5000\text{kg} \\ {S}_1=0.5{\text{m}}^2 \\ {m}_2=10\text{kg} \\ {S}_2=50{\text{cm}}^2\to {\text{m}}^2=50:10000{\text{m}}^2=0.005{\text{m}}^2 \\ g=10{\text{m/s}}^2 \\ {p}_1=m_1\cdot g/S_1=5000\cdot 10/0.5=100000\text{Pa} \\ {p}_2=m_2\cdot g/S_2=10\cdot 10/0.005=20000\text{Pa} \\ {p}_2>p_1 \\ x=G \end{gathered}$$

Try another example