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

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In summary, two skaters with different masses will have equal but opposite momenta when pushing away from each other. This can be represented by the equation (delta) p = mv, where p is momentum, m is mass, and v is velocity. The difference in mass will cause a difference in velocity to maintain equal but opposite momenta.
  • #1
alwysnforevr002
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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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  • #2
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."
 
  • #3
Im sorry but i don't really understand what you mean
 
  • #4
Are you aware of this:

(delta) [tex]p = mv[/tex]?

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.
 

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

How does the mass of a skater affect their momentum?

The mass of a skater affects their momentum because momentum is directly proportional to mass. This means that the greater the mass of the skater, the greater their momentum will be. This can be observed in collisions, where a heavier skater will have more momentum and therefore be more difficult to stop than a lighter skater.

Does a skater's speed affect their momentum?

Yes, a skater's speed does affect their momentum. Momentum is the product of an object's mass and velocity, so an increase in speed will result in an increase in momentum. This is why skaters build up speed before attempting tricks, as it will give them more momentum to perform the trick successfully.

How does the surface a skater is on affect their momentum?

The surface a skater is on can affect their momentum in a few different ways. On a rough surface, there may be more friction, which can slow down the skater and decrease their momentum. On a smooth surface, there may be less friction, allowing the skater to maintain their speed and momentum. Additionally, the material of the surface can also affect momentum. For example, a skater on ice will experience less friction than a skater on concrete, resulting in a difference in momentum.

How does a skater's center of mass affect their momentum?

A skater's center of mass, also known as their balance point, is an important factor in their momentum. If a skater's center of mass is not aligned with their direction of travel, they may lose balance and their momentum will be affected. Additionally, a skater can manipulate their center of mass to perform certain tricks, which can also impact their momentum.

Can a skater increase their momentum while in motion?

Yes, a skater can increase their momentum while in motion. As long as there is an external force acting on the skater, such as gravity or a push from another skater, their momentum can increase. This is why skaters can gain momentum as they go down a ramp or when they are pushed by another skater. However, without any external forces, momentum will remain constant due to the law of conservation of momentum.

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