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) Wrong answer

Solution:

m1=5 t=5 1000 kg=5000 kg S1=0.5 m2  m2=10 kg S2=50 cm2=50/10000 m2=0.005 m2  g=10 m/s2  p1=m1 g/S1=5000 10/0.5=100000 Pa p2=m2 g/S2=10 10/0.005=20000 Pa  p2>p1  x=Gm_{1}=5 \ t=5 \cdot \ 1000 \ kg=5000 \ kg \ \\ S_{1}=0.5 \ \text{m}^2 \ \\ \ \\ m_{2}=10 \ \text{kg} \ \\ S_{2}=50 \ cm^2=50 / 10000 \ m^2=0.005 \ 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



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