Question

Самолёт массой 100 тонн взлетел на высоту 1 километр со скоростью 200 м/с. Какова его механическая энергия относительно Земли (Помогите пожалуйста, нужен развернутый ответ)

Answer 1

1) Кинетическая энергия равна Ек= m v(в квадрате) / 2 = (100000кг 200м/c 200 м/c) / 2 = 2000000000 Дж
2) Потенциальная энергия Еп = mgh = 100000кг 10 Н / кг 1000м = 1000000000 Дж
3) Полная мех. энергия Е = Еп + Ек = 2000000000 Дж + 1000000000 Дж = 3000000000 Дж = 3 ГДж (гигаджоуля)

Answer 2

Calculation of Mechanical Energy

To calculate the mechanical energy of an object, we need to consider both its kinetic energy and potential energy.

Kinetic Energy is the energy possessed by an object due to its motion and is given by the formula:

KE = (1/2)mv^2

where KE is the kinetic energy, m is the mass of the object, and v is its velocity.

Potential Energy is the energy possessed by an object due to its position relative to other objects. In this case, we will consider the potential energy due to the object's height above the ground. The potential energy is given by the formula:

PE = mgh

where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity (approximately 9.8 m/s^2), and h is the height.

To calculate the mechanical energy, we need to add the kinetic energy and potential energy:

Mechanical Energy = KE + PE

Now let's calculate the mechanical energy of the airplane.

Given: - Mass of the airplane = 100 tons = 100,000 kg - Height = 1 kilometer = 1,000 meters - Velocity = 200 m/s

Calculation:

1. Calculate the kinetic energy: - KE = (1/2)mv^2 - KE = (1/2)(100,000 kg)(200 m/s)^2 - KE = 2,000,000,000 J

2. Calculate the potential energy: - PE = mgh - PE = (100,000 kg)(9.8 m/s^2)(1,000 m) - PE = 980,000,000 J

3. Calculate the mechanical energy: - Mechanical Energy = KE + PE - Mechanical Energy = 2,000,000,000 J + 980,000,000 J - Mechanical Energy = 2,980,000,000 J

Therefore, the mechanical energy of the airplane relative to the Earth is 2,980,000,000 Joules.

Please note that this calculation assumes that there are no other external forces acting on the airplane, such as air resistance or friction.