Skaters, Momentum, and Mass: How Does it Affect It?

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When two skaters push away from each other, their momenta are equal in magnitude but opposite in direction, regardless of their differing masses. The momentum of each skater can be calculated using the equation p = mv, where p is momentum, m is mass, and v is velocity. If one skater is 60 kg and the other is 72 kg, the lighter skater will have a higher velocity to ensure their momenta remain equal. This relationship highlights that while mass affects the velocity needed to maintain equal momentum, the total momentum of the system remains conserved. Understanding these principles is crucial in analyzing motion in physics.
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If two skaters are pushing away from each other i know that their momentum will be equal but in opposite directions. However, if they have different masses (i.e. one is 60kg and another is 72kg) will that affect the momentum??




:smile:


Original question:
Two skaters stand facing each other. One skater's mass is 60 kg, and the other's mass is 72 kg. If the skaters push away from each other without spinning,

the lighter skater has less momentum.
their momenta are equal but opposite.
their total momentum doubles.
their total momentum decreases.
 
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Try making the equations for the individuals momentum and combining these two equations with the thing you have already stated ie. "their momentum will be equal but in opposite directions."
 
Im sorry but i don't really understand what you mean
 
Are you aware of this:

(delta) p = mv?

Write this equation for the both of the skaters and then combine them as you know that "their momentum will be equal but in opposite directions."

If their mass differs, but ie. "their momentum will be equal but in opposite directions., what must also change to make this possible?

Note that the latex didn't work as I wanted it to.
 
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