How should the second cosmic velocity in physics be proved?

。"Satellite orbital velocity" refers to the "orbital speed" of the satellite moving in a circle around the earth, and among the above three velocities, the "second cosmic velocity" is the largest, and the size ratio is smaller. And the higher you are from the earth's surface, the lower the velocity.

So; The "first cosmic velocity, the second cosmic velocity" refers to the "launch velocity" when a satellite is launched on the ground, and the magnitude is 7, respectively

The minimum velocity that can escape the gravitational pull of the Earth is the second cosmic velocity.

Suppose that the minimum launch velocity required to launch a satellite with mass m on Earth into an orbit orbiting the Sun is V;

At this time, the motion of the satellite around the sun can be considered to be not subject to the gravitational pull of the earth, and the distance from the earth is infinite;

Considering that infinity is the gravitational potential energy 0 potential surface and the launch velocity is the minimum velocity, then the satellite can reach infinity.

From the kinetic energy theorem.

1/2*mv^2-gmm/r=0;

The solution yields v= (2gm r).

This is exactly twice the velocity of the first universe.

Let the mass of the earth be m and the radius be r, and the work required to carry an artificial celestial body with mass m from the surface of the earth to infinity is gmm r

gmm/r=1/2 m*v*v

I forgot the specifics, you can consult the first volume of the high school physics teacher's book, which has a brief proof at the end of the section on gravitation.

The second velocity is caused by the gravitational pull of the sun, and the gravitational formula can be used to prove that the sun is the central celestial body

It's amazing, if you multiply the first cosmic velocity by the root number 2, it's the second cosmic velocity.

DerivationSecond cosmic velocityKeep in mindThe law of conservation of energy。Let ep2=0 at infinity, and ek2=0. When the object is on the surface of the earth, ep1=-gmm r.

The minimum velocity required for an artificial celestial body to be unmotivated to break free from the gravitational restraint of the Earth. Excluding air resistance, its magnitude is . It is the first scattered cosmic velocity.

The stove is erected 2 times.

Escape speed. Escape Velocity): Shoots an object vertically upwards from the planet's surface, and if its initial velocity is less than the planet's escape velocity, the object will only rise a certain distance, after which the acceleration caused by the planet's gravity will occur.

will eventually make it fall.

If the initial velocity reaches the planet's escape velocity, the object will completely escape the planet's gravitational pull and fly out of the planet. The velocity at which the object needs to escape the gravitational pull of the planet is called the escape velocity. An object on the surface of a celestial body escapes the gravitational pull of that celestial body.

The minimum speed required to fly into space. For example, the speed at which the Earth is detached.

is the kilometer second (i.e. the second cosmic velocity).

Second Cosmic Velocity When an object (spacecraft) flies at a speed of kilometers and seconds, it can get rid of the shackles of the earth's gravity, fly away from the earth and enter an orbit around the sun, and no longer orbit the earth. This minimum velocity out of the Earth's gravitational pull is the second cosmic velocity. The starting flight speed of various planetary or satellite probes is higher than the second cosmic velocity.

Second cosmic velocity v When the spacecraft exceeds the first cosmic velocity v and reaches a certain value, it will break away from the earth's gravitational field and become an artificial planet orbiting the sun, which is called the second cosmic velocity, also known as escape velocity. According to the theory of mechanics, the second cosmic velocity v= can be calculated.

The second cosmic velocity is the escape velocity, and the kinetic energy of an object is equal to the gravitational potential energy of that object.

The size of the object. Escape velocity is generally described as the minimum velocity required to escape the gravitational impulse of a gravitational field and fly away from that gravitational field.

The second cosmic velocity is derived as follows:

Let ep2=0 at infinity, and ek2=0. When the object is on the surface of the earth, ep1=-gmm r. Due to the law of conservation of energy, there is ek1+ep1=ek2+ep2.

Because ek2+ep2=0, then ek1+ep1=0.

Therefore, ek1=-ep1=gmm r, and ek1=1 2mv squared, v = root number (2gm r), and the second cosmic velocity can be obtained by substituting the relevant constant.

Second, the characteristics of the cosmic velocity.

The escape velocity, depending on the mass of the planet. If the mass of a planet is large, its gravitational pull will be strong, and the escape velocity value will be large. Conversely, a lighter planet will have a smaller escape velocity.

The escape velocity also depends on the distance of the object from the center of the planet, and the closer the distance, the greater the escape velocity.

If the mass and surface gravity of a celestial body are so great that the escape velocity reaches or exceeds the speed of light, the object is a black hole. Black holes can escape at speeds of up to 300,000 kilometers per second.

1. Excluding air resistance, the second cosmic velocity is.

2. The second cosmic velocity is the minimum velocity required for an artificial celestial body to be unpowered to break free from the gravitational constraints of the Earth. When an object (spacecraft) flies at a speed of kilometers per second, it can get rid of the shackles of the earth's gravity, fly away from the earth and enter an orbit around the sun, and no longer orbit the earth. This minimum velocity out of the Earth's gravitational pull is the second cosmic velocity.