The situation is not quite clear. Total momentum is always conserved, but momentum can be transferred from one object to another.
because
The momentum of a roller skater is not conserved because external forces act on the skates, primarily friction and air resistance. These forces can change the skater's velocity, thus affecting their momentum. Additionally, when the skater pushes off the ground or interacts with other objects, those actions can also alter their momentum. Therefore, while momentum can be conserved in an isolated system, the skater is subject to external influences that disrupt this conservation.
Yes, angular momentum is conserved when a spinning ice skater pulls in their arms. This is because the skater's rotational speed increases as they bring their arms closer to their body, balancing out the decrease in their moment of inertia.
When momentum is conserved, the initial momentum is equal to the final momentum.
What does it mean to say momentum is conserved?
Yes, angular momentum is conserved in the system.
When a spinning skater pulls in her arms to turn faster, her angular momentum is conserved. Angular momentum is the product of an object's moment of inertia and its angular velocity. By pulling her arms in, the skater decreases her moment of inertia, causing her angular velocity to increase in order to maintain a constant angular momentum. This is similar to the principle of conservation of angular momentum seen in other rotating systems.
For momentum to be conserved in a system it must
Momentum is conserved in a collision when there are no external forces acting on the system.
Yes, momentum is conserved during an elastic collision.
Yes, the angular momentum about the center of the planet is conserved.
Yes, momentum is conserved in an elastic collision, meaning the total momentum of the system before the collision is equal to the total momentum after the collision.