# When a body falls, its momentum increases. Does this mean that the momentum is not conserved?

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What do you mean by 'fall'? I assume it is force. Under the action of force the body as soon as it collides does lose momentum, but the other body gains it.

Conservation of momentum states that linear momentum of a SYSTEM is conserved, not it's particle. When two objects collide because of any reason the total momentum of the system is conserved. So, if we take earth and falling object example, earth and falling object form a system. Hence momentum lost by body is equal to momentum gained by Earth.

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No, the momentum of a falling body does not increase. Momentum is conserved in a closed system, meaning that the total momentum of all objects in the system remains constant. When a body falls, its momentum increases in the downward direction, but this increase is offset by an equal and opposite change in momentum in the surrounding environment, such as the Earth or any other objects the falling body may interact with. Therefore, the total momentum of the system, including the falling body and its surroundings, remains constant, in accordance with the principle of conservation of momentum.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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