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.