Which of the vehicles will sink deeper into the sand: a tank with a track area of 1.6 m2 and a mass of 8 tons

Which of the vehicles will sink deeper into the sand: a tank with a track area of 1.6 m2 and a mass of 8 tons or a tractor with a tire surface area of 1.4 m2 and a mass of 6 tons …. Why?

St = 1.6 m2.

mt = 8 t = 8000 kg.

g = 10 N / kg.

Str = 1.4 m2.

mtr = 6 t = 6000 kg.

Pт -?

Ptr -?

The vehicle, which pressure on the sand is greater, will sink deeper into the sand.

The pressure of the vehicle on the sand P is determined by the formula: P = F / S.

F = m * g

Pt = mt * g / St.

Рт = 8000 kg * 10 N / kg / 1.6 m2 = 50,000 Pa.

Ptr = mtr * g / Str.

Ptr = 6000 kg * 10 N / kg / 1.4 m2 = 42857 Pa.

Rtr <RT.

As you can see, the pressure of the tractor on the sand Ртр is less than the pressure of the tank Рт, the tank will sink deeper into the sand.

Answer: the tank will sink deeper into the sand than the tractor.



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