The ice can withstand a pressure of 90 kPa. Will a tractor weighing 5.4 tons

| March 13, 2021 | education

The ice can withstand a pressure of 90 kPa. Will a tractor weighing 5.4 tons pass on this ice if it is supported by tracks with a total area of 1.5 m2?

Pmax = 90 kPa = 90,000 Pa.

g = 9.8 m / s ^ 2.

m = 5.4 t = 5400 kg.

S = 1.5m ^ 2.

P -?

The pressure of the force P is a scalar physical quantity that shows which force F acts on a unit area and is determined by the formula: P = F / S.

The tractor presses on the ice with its weight F, the value of which is found by the formula: F = m * g, where m is the mass of the tractor, g is the acceleration of gravity.

The formula for determining the pressure will take the form: P = m * g / S.

P = 5400 kg * 9.8 m / s ^ 2 / 1.5 m ^ 2 = 35280 Pa.

P <Pmax.

Answer: since the tractor pressure P is less than the maximum pressure Pmax that the ice can withstand, the tractor will withstand the ice.



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