Simple Collisions Question Solution | Conservation of Momentum

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The discussion revolves around solving a simple collision problem involving conservation of momentum and gravitational potential energy. The initial calculations show that gravitational potential energy equals kinetic energy, yielding a height of 0.815 meters. Momentum conservation is emphasized, with the momentum before and after the collision calculated to be equal. A correction is noted regarding the mass used in momentum calculations, clarifying that it should be (80/1000) kg instead of (80/100). The final answer for part c is confirmed as 2.67 seconds, indicating the solution is correct.
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[SOLVED] simple collisions question

Homework Statement



http://img180.imageshack.us/img180/1253/28157442gm4.jpg


Homework Equations



√(2gh)

The Attempt at a Solution



a)


Gravitational potential energy = kinetic energy

this gives u

√(2gh)

= 0.815 metres


b)
i)
In a closed system, total momentum is always conserved.

ii)

Momentum before = momentum after


momentum before :
mass X velocity
(80/100) kg X 4 m/s = 0.32kgm/s

momentum after :
mass X velocity
((80/100) X 3) kg X x = 0.32 kgm/s

therefore x = 1.33 m/s

Is that rite?


and for c) :

ah i get it now!
 
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All is fine up to the momentum calculations where you use (80/100) as the mass. This should be (80/1000) or (8/100). You seem to have the right value for the momentum though so that's probably just a typo. What did you get for part c?

EDIT: Just noticed you've solved it.
 
Kurdt said:
All is fine up to the momentum calculations where you use (80/100) as the mass. This should be (80/1000) or (8/100). What did you get for part c?

oh yes srry! for part c i got : 2.67 seconds is tht rite?
 
hasnain721 said:
oh yes srry! for part c i got : 2.67 seconds is tht rite?

Looks fine to me.
 
Kurdt said:
Looks fine to me.

cheers!
 
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