Conservation of momentum query

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SUMMARY

The discussion centers on the application of the conservation of momentum principle to determine the initial velocity of a ball influenced by wind. The formula presented is m_air * v_air = m_ball * v_ball, leading to v_ball = (m_air * v_air) / m_ball. It is established that without knowing specific parameters of the air's movement, such as its mass and velocity, one cannot accurately calculate the ball's initial velocity. The conversation concludes that the air does not move uniformly, complicating momentum calculations.

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volican
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I have a ball and the wind blows on it. Could I find the initial velocity of the ball from conservation of momentum?

m_air * v_air = m_ball * v_ball

v_ball = (m_air * v_air) / m_ball

What would you put for m_air?
 
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The initial speed?
That can be anything, you cannot calculate it unless you know something about your system.

The final speed? You can find the speed where the ball is in a force equilibrium. The ball will approach this speed over time.
volican said:
Could I find the initial velocity of the ball from conservation of momentum?
No. The air won't all move at the same speed, and you cannot properly keep track of its total momentum.
 
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