When a satellite moves in a circular motion, is kinetic energy conserved and momentum conserved?

The kinetic energy is conserved when the satellite is moving in a circular motion without considering the attenuation, and the momentum is not conserved. Here's why:

The satellite is only subjected to the centripetal force provided by the universal stress.

For kinetic energy w=1 2 m v 2 it is a scalar quantity. It is only related to the magnitude of the velocity, and when the satellite is moving in a circle, the magnitude of the velocity remains the same, so the kinetic energy is also the same. Also, from the point of view of work done, w=fscosa.

Since the satellite moves in a circular motion, its centripetal force is perpendicular to the velocity direction cosa=0, so the centripetal force does not do work on the satellite. So the kinetic energy of the satellite does not change.

For momentum, p=mv it is a vector quantity, which not only has a magnitude but also a direction. In the process of making a circle of the satellite, although the magnitude of the velocity v does not change, its direction is constantly changing, so although the magnitude of the momentum p does not change, the direction is constantly changing. In addition, from the point of view of changing the impulse i of mv, i = ft, since the satellite is subject to and only depends on the universal stress, f is not zero, then i is always not zero, so mv will change constantly.

Kinetic energy is conserved, momentum is not conserved, and angular momentum is conserved.

Of course, it is not conserved, and when doing circular motion, the direction of motion of the object and the perpendicular force to the force do not do work, but the momentum of changing the direction of motion is vector directional, and it is not conserved.

Reason: When the satellite moves around the earth, it is only affected by gravity, and the direction of the force is directed from the satellite to the center of the earth, then the net moment of the satellite is 0. According to the theorem of conservation of momentum at the angle of rising: if the resultant external moment is zero, then the angular momentum of the system is conserved. The angular momentum is conserved as obtained.

But kinetic energy is not conserved during motion. Because the satellite moves in space, there is almost no resistance, the mechanical energy is conserved, and because it is an elliptical orbit, the operating radius changes, that is, the gravitational potential energy changes, and the kinetic energy will change.

Is the momentum of a pendulum ball of a single pendulum conserved during swinging? If a satellite moves in a circular motion or elliptical motion around the Earth, is the momentum of the satellite conserved?

According to the questions you provided, we <> here to find the following answer for your reference: In the swing process of a single pendulum, the momentum of the pendulum ball is conserved. Since the single pendulum system is subjected to gravity, the pendulum ball will go back and forth during the swing process.

Over the course of each swing, the velocity and momentum of the pendulum ball change, but the total momentum remains the same. This is because in the process of oscillation, gravity is an internal force that does not have an effect on the total momentum of the system. For satellites moving in a circular or elliptical motion around the Earth, the momentum of the satellite is also conserved.

In this case, the satellite is subjected to the gravitational pull of the Earth, creating a centripetal force that causes the satellite to maintain a circular or elliptical orbit. During the motion, the velocity and momentum of the satellite change, but the total momentum remains inconsistent. This is because the gravitational pull of the Earth on the satellite is an internal force that does not change the total momentum of the system.

The law of gravitation. According to Newton's law of universal gravitation, there is an interacting force in any two objects, and its magnitude is inversely proportional to the second power of the distance between the objects and directly proportional to the product of the masses of the two objects. Calculation formula: f=kmm r2(k is the gravitational constant).

As long as the distance between the two is controlled, so that the gravitational force is exactly equal to its centripetal force, the satellite can never stop moving in a uniform circular motion around the earth (no air in space, zero resistance, no energy loss).

Yes. Angular momentum.

To be conserved is a natural source.

One of the universal fundamental laws of the world.

The law of conservation of angular momentum states that the angular momentum of a system remains unchanged when the resultant external moment of the system is zero. It is one of the universal laws of nature, and the conservation of angular momentum essentially corresponds to the invariance of the rotation of space.

Angular momentum is a physical quantity related to the displacement and momentum of an object to the origin in physics, also known as momentum moment. It characterizes the magnitude of the velocity of the sagittal sweep area of the particle, or the degree of rotation of the fixed axis of the rigid body.

For a satellite orbiting the Earth, its angular momentum is equal to the mass multiplied by the velocity, multiplied by the distance of the object from the fixed point. When the satellite rotates around a fixed axis, if its moment of inertia on the axis is variable, then under the condition that the angular momentum is conserved, the angular velocity w of the object changes with the change of moment of inertia i, but the product of the two remains constant, so that when i becomes larger, w becomes smaller; i becomes smaller, w becomes larger.

Conservation condition of angular momentum: the resultant external moment is equal to 0; The resultant external force of the satellite, i.e., the centripetal force, is parallel to the force arm (radius), and the vector of the two is multiplied by = 0.

In conclusion, conservation of angular momentum is one of the fundamental laws that prevail in nature. Satellite-Earth systems are no exception.

The reason for the conservation of angular momentum is as follows: when the satellite orbits the earth, it only receives gravitational force, and its direction is pointed from the satellite to the center of the earth, then the net moment of the satellite is 0, according to the angular momentum conservation theorem (if the external moment is zero, the angular momentum of the system is conserved).

The conservation of angular momentum is one of the universal laws of physics. Reflects the general law of the movement of particles and systems of particles around a point or axis. The angular momentum is geometrically twice the velocity of the area swept by the sagittal diameter.

The law of conservation of angular momentum states that when the external moment is zero, the area swept by the line between the object and the center point does not change per unit time, which is manifested in the motion of celestial bodies as Kepler's second law.

Because the direction of the force is parallel to the direction of the position vector, i.e., f r, the angular momentum is conserved.