Work out the velocity from the momentum?

AI Thread Summary
It is possible to calculate velocity from momentum if mass is known, as momentum is defined by the equation p = mv. Without mass, determining velocity is impossible since multiple masses can yield the same momentum. In a collision example with two skaters, the total momentum is calculated by considering their individual momenta and directions. The conservation of momentum principle states that the total momentum before and after the collision remains constant. If the skaters stick together post-collision, their combined mass can be used to find the resulting velocity.
ryansmith885
Messages
7
Reaction score
0

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

 
Physics news on Phys.org
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.
 
Back
Top