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Can a body in translatory motion have angular momentum?
No, a body in translatory motion does not have angular momentum as angular momentum is associated with rotational motion. Translatory motion involves motion along a straight line, while angular momentum involves rotation around an axis.
Which quantity remain constant in planetary motion as seen from sun?
The angular momentum of a planet remains constant in its motion around the sun. This is due to the conservation of angular momentum, which dictates that the product of the planet's mass, velocity, and distance from the sun remains the same as the planet orbits.
What is the significance of the angular momentum of Earth about its axis in relation to its rotational motion and stability?
The angular momentum of Earth about its axis is important for its rotational motion and stability. It helps to maintain the planet's balance and keeps it spinning consistently. Changes in angular momentum can affect the Earth's rotation speed and axis tilt, which can impact climate and seasons.
What is the significance of the Laplace-Runge-Lenz vector in celestial mechanics and how does it relate to the conservation of angular momentum in planetary motion?
The Laplace-Runge-Lenz vector is important in celestial mechanics because it helps describe the shape and orientation of planetary orbits. It is related to the conservation of angular momentum in planetary motion because it points in the direction of the eccentricity vector, which remains constant as a planet moves around its orbit. This conservation of angular momentum helps explain why planets maintain their orbits without spiraling into the sun.
Explain how momentum is conserved when a ball bounces against a floor?
When a ball bounces against a floor, the total momentum of the ball and the floor system remains constant before and after the collision, assuming there are no external forces acting on the system. This is because the force exerted by the floor on the ball during the collision changes the direction of the ball's momentum without changing its magnitude.
Angular momentum about the center of the planet is conserved?
Angular momentum is conserved when there is no external torque acting on a system. For a planet, the net torque acting on it is negligible, so its angular momentum about its center will be conserved unless acted upon by an external force. This conservation principle is a consequence of the rotational symmetry of the system.
When does a planet have the greatest angular momentum?
A planet's angular momentum is constant, which is one way of stating Kepler's second law of planetary motion, the one about sweeping out equal areas. The angular momentum of the daily rotation is also constant.
Why does the world spin on its axis?
Mainly because any object that is spinning has a tendency to continue spinning. This is called conservation of angular momentum. The initial spin must have come when the planet was formed; different objects crashed together, forming the planet, and it is very unlikely that all of these crashes were exactly in the center of the newly-forming planet, so there was a random net angular momentum.
Does the world spin on its axis?
Mainly because any object that is spinning has a tendency to continue spinning. This is called conservation of angular momentum. The initial spin must have come when the planet was formed; different objects crashed together, forming the planet, and it is very unlikely that all of these crashes were exactly in the center of the newly-forming planet, so there was a random net angular momentum.
Can a body in translatory motion have angular momentum?
No, a body in translatory motion does not have angular momentum as angular momentum is associated with rotational motion. Translatory motion involves motion along a straight line, while angular momentum involves rotation around an axis.
What keeps Venus up in space?
Angular momentum is what keeps the planet Venus up, in the sense of not falling into the sun. To be precise, it is the balance between the gravitational attraction of the sun, and the angular momentum of the planet, which keeps Venus in its orbit.
Does angular momentum of a planet depend on its mass and distance from the sun?
Of course! The mass controls its speed, momentum, and how it tilts as its rotation around the sun continues. As a planet rotates on its axis, it will tilt at the sun, which is a big gravity machine. The earth is believe to be tilted because of collisions that are believed to have taken place billions of years ago. The earth collided with other proto planets in space, and became tilted. - pianodriver
Which quantity remain constant in planetary motion as seen from sun?
The angular momentum of a planet remains constant in its motion around the sun. This is due to the conservation of angular momentum, which dictates that the product of the planet's mass, velocity, and distance from the sun remains the same as the planet orbits.
What could Kepler's second law be used to measure?
Kepler's second law says that the line joining a planet to the Sun sweeps out equal areas in equal time. Kepler noticed that when a planet's orbit takes it slightly further from the Sun, it moves more slowly. He deduced from calculations made from observations that when the distance increases by 1%, the angular speed decreases by 1%, so the distance times the angular speed, which is the area swept out per second, stays constant. He found this is true all the time for all the planets, a very important discovery in the history of science. The planet's mass times the distance times the angular speed is the angular momentum, and this stays constant. So angular momentum is 'conserved' as the planet goes round, speeding up and slowing down in its orbit. Therefore the second law is now known as a statement of an important physical principle called the Conservation of Angular Momentum. In this way Kepler's second law contributed to scientific progress after his death. Angular speed is measured in radians per second, and the angular momentum is mass times distance times angular speed. For a single particle it is equal to the linear momentum of the particle (mass times speed), while for a rigid body it is the angular speed times the moment of inertia.
What is the significance of the angular momentum of Earth about its axis in relation to its rotational motion and stability?
The angular momentum of Earth about its axis is important for its rotational motion and stability. It helps to maintain the planet's balance and keeps it spinning consistently. Changes in angular momentum can affect the Earth's rotation speed and axis tilt, which can impact climate and seasons.
What causes the planet revolve around the sun?
The cause of all rotation in the solar system is the rotating gas and dust cloud that the sun and planets coalesced from almost 5 billion years ago. Angular momentum must be conserved and so we continue to rotate today.
What does a planets rotation cause?
This is a very good question that may not have an ultimate answer, but there is an explanation. The reason a planet rotates is due to its origins from the nebula from which it formed. This nebula had to be rotating. You probably have heard about the gyroscope and how it works- conservation of angular momentum. Angular momentum is determined by the rate of rotation and the mass of the object and its distribution as a function of distance from the axis of rotation. This is the principle behind an ice-skater spinning up when the arms are brought close to the body, or slowing down when the arms are extended. Except for dissipation and action of other torques, angular momentum is held constant. Thus the rotation of the gases and dust from which a planet formed causes the planet to keep on rotating, to conserve the initial angular momentum.The planet's rotation is of course changed by events both inside and outside of the planet. For example, it has been recently shown that the use of dams has changed the distribution of stored water on earth at different latitudes, sufficiently to change the length of the day! The difference is small, but has been detectable.But, why is the angular momentum conserved? And why was the nebula rotating if the universe began in a big bang?
