Question

сомолет массой 52 т летит на высоте 15 км со скоростью 900 км/ч.Необходимо определить его полную механическую энергию.​

Answer 1

Ответ:

9,425·10⁹ Дж или 9,425 ГДж

Объяснение:

m = 52 т = 52 000 кг

v = 900 км/ч = 250 м/с

h = 15 км = 15 000 м

g = 10 Н/кг

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Е - ?

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Потенциальная энергия

Еп = mgh = 52 000 · 10 · 15 000 = 7,8·10⁹ (Дж)

Кинетическая энергия

Ек = 0,5 mv² = 0.5 · 52 000 · 250² = 1.625·10⁹ (Дж)

Полная механическая энергия

Е = Еп + Ек = 7,8·10⁹ + 1,625·10⁹ = 9,425·10⁹ (Дж) = 9,425 ГДж

Answer 2

Calculating the Total Mechanical Energy of the Aircraft

To calculate the total mechanical energy of the aircraft, we can use the formula for mechanical energy, which is the sum of kinetic energy and potential energy.

Given: - Mass of the aircraft (m) = 52 tons = 52,000 kg - Altitude (h) = 15 km = 15,000 m - Speed (v) = 900 km/h = 900,000 m/h = 250 m/s

Kinetic Energy

The kinetic energy (KE) of the aircraft can be calculated using the formula: \[ KE = \frac{1}{2}mv^2 \]

Substitute the given values: \[ KE = \frac{1}{2} \times 52,000 \times (250)^2 \]

\[ KE = 0.5 \times 52,000 \times 62,500 \]

\[ KE = 1,625,000,000 \, J \]

Potential Energy

The potential energy (PE) of the aircraft at a certain altitude is given by: \[ PE = mgh \]

Substitute the given values: \[ PE = 52,000 \times 9.81 \times 15,000 \]

\[ PE = 7,641,000,000 \, J \]

Total Mechanical Energy

The total mechanical energy (TE) is the sum of kinetic energy and potential energy: \[ TE = KE + PE \]

Substitute the calculated values: \[ TE = 1,625,000,000 + 7,641,000,000 \]

\[ TE = 9,266,000,000 \, J \]

So, the total mechanical energy of the aircraft flying at an altitude of 15 km with a speed of 900 km/h is 9,266,000,000 Joules.