Question

Определите полную механическую энергию космического корабля массой 2т, движущегося на высоте 300 км со скоростью 8 км/с

Answer 1

Е=mgh+mV^2/2=2000*10*300000+2000*8000*8000/2=
Вычисли и получишь значение

Answer 2

Calculation of the Total Mechanical Energy of a Spacecraft

To determine the total mechanical energy of a spacecraft, we need to consider both its kinetic energy and potential energy.

Given: - Mass of the spacecraft (m) = 2 tons = 2000 kg - Height above the Earth's surface (h) = 300 km - Velocity of the spacecraft (v) = 8 km/s

Kinetic Energy (KE)

The kinetic energy of an object is given by the formula:

KE = (1/2)mv^2

where: - KE is the kinetic energy - m is the mass of the object - v is the velocity of the object

Substituting the given values:

KE = (1/2)(2000 kg)(8 km/s)^2

Converting the velocity from km/s to m/s:

KE = (1/2)(2000 kg)(8000 m/s)^2

Calculating the kinetic energy:

KE = 64,000,000,000 J

Potential Energy (PE)

The potential energy of an object at a height above the Earth's surface 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) - h is the height above the Earth's surface

Substituting the given values:

PE = (2000 kg)(9.8 m/s^2)(300,000 m)

Calculating the potential energy:

PE = 5,880,000,000 J

Total Mechanical Energy (E)

The total mechanical energy of the spacecraft is the sum of its kinetic energy and potential energy:

E = KE + PE

Substituting the calculated values:

E = 64,000,000,000 J + 5,880,000,000 J

Calculating the total mechanical energy:

E = 69,880,000,000 J

Therefore, the total mechanical energy of the spacecraft is approximately 69,880,000,000 Joules.