In a 2D collision between two balls of identical mass, where one ball is initially at rest, the following statements can be assessed for their correctness regarding the conservation of momentum and kinetic energy:
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The momentum is not conserved in the vertical direction - This statement could be true if there are external forces acting in the vertical direction. If it's an isolated system, momentum should be conserved in both vertical and horizontal directions. Therefore, if there are no external forces acting on the system, this statement is incorrect.
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The momentum is not conserved in the horizontal direction - Similar to the vertical direction, if the system is isolated and no external horizontal forces are acting, momentum should be conserved in the horizontal direction as well. This statement is incorrect if no external forces are present.
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The kinetic energy decreases but it should not for this type of collision - If the collision is perfectly elastic, kinetic energy should be conserved. If kinetic energy decreases, it suggests that the collision may not be elastic. This statement is correct if the collision type is assumed to be elastic.
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The kinetic energy is greater after the collision - In a collision, the total kinetic energy cannot increase unless work is done on the system or additional energy is added from an external source. Thus, this statement is incorrect for an isolated system.
Based on this analysis, the correct statement is:
- The kinetic energy decreases but it should not for this type of collision.
If you have additional details about the collision type (elastic or inelastic), please let me know for more precise conclusions!