Is Momentum Conserved in a Colliding System with Gravity?

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SUMMARY

In a system where gravity acts, momentum is conserved during an elastic collision, provided no net external forces are present. This principle holds true even when considering a mass M colliding with an inclined plane of mass 3M, as the collision duration is negligible. The impulse approximation allows for the assumption that external forces, such as gravity, can be ignored during the brief collision. The normal force is classified as an external force when analyzing the dropped mass alone, but it becomes an internal force when both masses are considered as part of the same system.

PREREQUISITES
  • Understanding of momentum conservation principles
  • Familiarity with elastic collisions
  • Knowledge of the impulse approximation
  • Concept of internal vs. external forces in physics
NEXT STEPS
  • Study the impulse approximation in detail
  • Explore the principles of elastic and inelastic collisions
  • Learn about normal forces and their classification in different systems
  • Investigate the effects of external forces on momentum conservation
USEFUL FOR

Physics students, educators, and anyone interested in understanding the dynamics of colliding systems under the influence of gravity.

Dweirdo
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This is a conceptional problem I'm dealing with.
when no external forces act on a system momentum is conserved, right?
now when gravity acts on a system, and there is a collusion(elastic), let's say a mass M and an inclined plane(not attached to the ground) of mass 3M, while M is dropped from certain height and it hits the inclined plane(which causes the plane to move and M to bounce)
now the duration of the collusion is so small, so before and after it the momentum is conserved both in the X direction and the Y direction in my opinion, cause although there was a force acting during the collusion, it's effect is so neglect-able,or am I wrong??
I would like to have an explanation,
Thanks in advanced.
Dw
 
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Dweirdo said:
This is a conceptional problem I'm dealing with.
when no external forces act on a system momentum is conserved, right?
Right. Whenever the net external force is zero, momentum is conserved.
now when gravity acts on a system, and there is a collusion(elastic), let's say a mass M and an inclined plane(not attached to the ground) of mass 3M, while M is dropped from certain height and it hits the inclined plane(which causes the plane to move and M to bounce)
now the duration of the collusion is so small, so before and after it the momentum is conserved both in the X direction and the Y direction in my opinion, cause although there was a force acting during the collusion, it's effect is so neglect-able,or am I wrong??
Right! Usually one can assume that the collision is of such short duration, that all other forces (like gravity) can be ignored. That's called the "impulse approximation".
 
Oh great,
one more thing,
is the Normal force(during impact) is also an external force?
I've just asked some one and he said it is, but It doesn't work well for me, so..is that so?

Thank You so much Al!
 
Normal force is external if you are considering the dropped mass. It is an internal force if you consider both masses. The normal force on the inclined plane by the table is external; however, it's balanced by Mg.
 
Dweirdo said:
is the Normal force(during impact) is also an external force?
It depends on how you define the system. The normal force is a contact force between two objects. As long as both objects are part of the same system, then any contact force between them is an internal force as far as that system goes.
 
Thank You!
 

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