Work out the velocity from the momentum?

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Homework Help Overview

The discussion revolves around the relationship between momentum and velocity, specifically whether velocity can be determined from a given momentum value of 206 kg m/s without knowing the mass. Participants explore the implications of this relationship in the context of a collision scenario involving skaters.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants question the necessity of knowing mass to calculate velocity from momentum. Some discuss the implications of having different masses and how that affects the resulting velocity. Others introduce a scenario involving two skaters colliding, raising questions about direction and total momentum.

Discussion Status

The conversation is ongoing, with participants providing insights into the relationship between momentum and mass. There is a mix of interpretations regarding the collision scenario, and while some guidance has been offered, no consensus has been reached on the calculations or assumptions involved.

Contextual Notes

One participant explicitly states they do not have the mass, which raises constraints on the ability to calculate velocity. Additionally, the discussion includes hypothetical masses and momentum values, indicating a focus on conceptual understanding rather than definitive answers.

ryansmith885
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Homework Statement


Does anyone know if it is possible to work out the velocity from the momentum?
206Kg ms^-1 is the momentum... thanks
ryan

Homework Equations





The Attempt at a Solution

 
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do you have the mass?
 
no i don't have the mass just the mometum
 
ryansmith885 said:
no i don't have the mass just the mometum

Then it's impossible to get the velocity... the velocity could be anything...

momentum = mv
v = momentum/m

plug in difference m's and you get different v's...
 
thanks for the formula... if two skaters collide 1 has 75kg mass (180kg ms^-1 momentum) and the other has 60kg mass (100 kg ms^-1 momentum) than the total size of momentum before the collision would be 206 kg ms^-1 right? I want to calculate the velocity of 206kg ms^-1 thanks
 
i made these mass's up
 
ryansmith885 said:
thanks for the formula... if two skaters collide 1 has 75kg mass (180kg ms^-1 momentum) and the other has 60kg mass (100 kg ms^-1 momentum) than the total size of momentum before the collision would be 206 kg ms^-1 right? I want to calculate the velocity of 206kg ms^-1 thanks

How do you get 206?

you need to consider direction also... if they collide I assume they're going in opposite directions?

Then if the momentum of the first is 180, and the other is 100 in the opposite direction... I'll call it -100 taking the direction of the 1st skater as positive...

so total momentum = 180 + (-100) = 80kg*m/s

So total momentum after the collision is also 80kgm/s by conservation of momentum.

Now once they collide are they sticking together? Then using the definition of momentum and a total mass of 75kg+60kg... you can solve for the velocity using the momentum of 80kgm/s.
 

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