The bridge can withstand 500kPa. Will a car pass over this bridge, whose mother

The bridge can withstand 500kPa. Will a car pass over this bridge, whose mother is 12 tons, and the area of contact of the wheels with the road is 0.3 m2?

Given:
p = 500 kPa = 500 * 10 ^ 3 Pa.
m = 12 t = 12 * 10 ^ 3 kg.
S = 0.3 m².
p1> p?
1. The bridge will not withstand if the pressure generated by the machine is greater than the maximum p1> p.
2. Body pressure on the support:
р1 = P / S, where P – body weight, S – support area.
3. Body weight:
P = m * g, where m is the mass of the body, g is the free fall acceleration of a body raised above the Earth g = 9.8 m / s².
4. Substitute everything into the expression for pressure:
p1 = P / S = m * g / S.
5. Substitute the numerical values:
p1 = m * g / S = 12 * 10 ^ 3 * 9.8 / 0.3 = 392000.
6. Compare:
392000 <500 * 10 ^ 3, which means the bridge will withstand.
Answer: it will pass.