Centimeters 61934

How much pressure on the rails will cause an empty truck weighing 20 tons if the contact area of ​​all wheels and rails is 16 square centimeters?

Correct answer:

p =  125 MPa

Step-by-step explanation:

$$\begin{gathered} m=20\text{t}\to \text{kg}=20\cdot 1000\text{kg}=20000\text{kg} \\ S=16{\text{cm}}^2\to {\text{m}}^2=16:10000{\text{m}}^2=0.0016{\text{m}}^2 \\ g=10{\text{m/s}}^2 \\ F=m\cdot g=20000\cdot 10=200000\text{N} \\ {p}_0=\frac{F}{S}=\frac{200000}{0.0016}=125000000\text{Pa} \\ p=p_0/10^6=125000000/10^6=125\text{MPa} \end{gathered}$$

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