Convservation of momentum if one object rolls.

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In collisions involving rolling objects, both linear and angular momentum must be considered to accurately describe the system. The conservation of momentum equation, m1u1 + m2u2 = m1v1 + m2v2, can be expanded to include angular momentum by incorporating the moment of inertia and angular velocity. This integration allows for a comprehensive analysis of scenarios where an object rolls, such as a ball influenced by water flow. It is essential to combine linear and angular momentum equations rather than treating them independently for a complete understanding of the dynamics involved. Overall, the conservation principles apply to both types of momentum in these complex interactions.
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If 2 molecules collide, m1u1+m2u2 = m1v1+m2v2. However let's say the object hit rolls. How would that factor be dealt with in terms of momentum
 
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By including the angular momentum: moment of inertia times angular velocity.
 
can you combine an equation with linear and angular momentum or do you have to do it independently? e.g in the case of a flow of water causing a ball to roll
 
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