Question

Решить задачу: Какую силу нужно приложить к меньшему поршню площадью 0,3 м2, чтобы поднять тело массой 300 кг, находящееся на поршне площадью 30 м2?​

Answer 1

Ответ: 30Н

Объяснение:

Дано:

S1=0,3м²

m=300кг

S2=30м²

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F1-?

F1/S1=F2/S2

F1=F2*S1/S2=mgS1/S2=300*10*0,3/30=30Н

Answer 2

Calculation of the Force Required

To calculate the force required to lift an object of mass 300 kg on a piston with an area of 30 m², we can use the formula:

Force = Pressure × Area

The pressure exerted on the larger piston is equal to the weight of the object divided by the area of the larger piston:

Pressure = (Mass × Gravity) / Area

Substituting the given values, we have:

Pressure = (300 kg × 9.8 m/s²) / 30 m²

Calculating this expression, we find:

Pressure = 98 N/m²

Now, we can calculate the force required to lift the object on the smaller piston with an area of 0.3 m²:

Force = Pressure × Area

Substituting the values, we have:

Force = 98 N/m² × 0.3 m²

Calculating this expression, we find:

Force = 29.4 N

Therefore, a force of 29.4 Newtons needs to be applied to the smaller piston to lift the object with a mass of 300 kg on the larger piston with an area of 30 m².