Question

Толщина льда такова , что лед выдерживает давление 90кПа. Пройдет ли по этому льду трактор массой 5,4 т, если он опирается на гусеницы общей площадью 1,5м2?

Answer 1

P=F/S=mg/S
p=5 400кг*10/1.5=36 000 Па=36 кПа давление трактора
36 кПа<90 кПа следовательно толщина льда выдержит трактор

Answer 2

Calculation of Pressure Exerted by the Tractor on the Ice

To determine if the tractor with a mass of 5.4 tons can pass over the ice, we need to calculate the pressure exerted by the tractor on the ice. The pressure can be calculated using the formula:

Pressure = Force / Area

In this case, the force is the weight of the tractor, and the area is the total area of the tracks in contact with the ice.

Calculation Steps:

1. Convert the mass of the tractor from tons to kilograms: - 1 ton = 1000 kilograms - Therefore, the mass of the tractor is 5.4 tons * 1000 kilograms/ton = 5400 kilograms.

2. Calculate the force exerted by the tractor on the ice: - The force can be calculated using the formula: Force = mass * acceleration due to gravity - The acceleration due to gravity is approximately 9.8 m/s^2. - Therefore, the force exerted by the tractor is 5400 kilograms * 9.8 m/s^2 = 52920 Newtons.

3. Calculate the area of the tracks in contact with the ice: - The total area of the tracks is given as 1.5 m^2.

4. Calculate the pressure exerted by the tractor on the ice: - The pressure can be calculated using the formula: Pressure = Force / Area - Therefore, the pressure exerted by the tractor on the ice is 52920 Newtons / 1.5 m^2 = 35280 Pascal (Pa).

Conclusion:

The pressure exerted by the tractor on the ice is 35280 Pascal (Pa). Since the ice can withstand a pressure of 90 kPa (90000 Pascal), the tractor with a mass of 5.4 tons can safely pass over the ice.