Conservation of Momentum on Inclined and Flat Surfaces

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Momentum is not conserved for a cart on an incline or a flat surface when pushed, as gravity acts as an external force on the cart. While gravity is a conservative force in a broader system, it affects the cart's momentum differently based on its position. On an incline, the cart experiences a change in velocity due to gravitational acceleration, leading to a higher final velocity compared to a flat surface. The total momentum of the cart and the Earth is conserved, but not the momentum of the cart alone. Understanding these distinctions is crucial for grasping momentum conservation principles in physics.
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Would momentum be conserved on a cart if in one situation it is on an incline and the other it is on a flat surface(assuming it is pushed)

I am confused because I thought that since gravity is an internal force, it is a conservative force. But then the final velocity of the cart would be higher. Please help I'm in high school who's struggling in physics
 
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EverythingIsACircle said:
I am confused because I thought that since gravity is an internal force, it is a conservative force.
As far as the cart is concerned, gravity is an external force. Momentum of the cart will not be conserved. (Total momentum of the cart plus incline/earth will be conserved. In that system, gravity is an internal force.)
 
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