Conservation of momentum and toboggan

AI Thread Summary
A runaway toboggan with a mass of 8.6 kg is moving at 23 km/h when 15 kg of snow falls onto it, creating an inelastic collision. The correct application of conservation of momentum is highlighted, emphasizing that the initial momentum of the toboggan and snow must equal the final momentum after the collision. The initial momentum is calculated using the formula (mv1 initial) + (mv2 initial) = (m1+m2)(Vfin). The discussion clarifies that kinetic energy conservation cannot be applied here due to energy loss in inelastic collisions. Understanding the distinction between momentum and kinetic energy is crucial for solving such problems accurately.
jaded18
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a runaway toboggan of mass 8.6 kg is moving horizontally at 23 km/h. as it passes under a tree 15 kg of snow drop onto it.
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isn't the ans 13.88 if we use conservation of momentum equation (.5mv1 initial + 0.5mv2 initial) = (0.5mv1 final + 0.5 mv2final) --> (0.5 (8.6) (23^2)) = (0.5 (8.6+15)(v2^2)) ??
 
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You're not doing momentum properly. What is the definition of momentum?
 
well, actually, i guess i had used the conservation statement for kinetic energy and not the conservation for momentum... and so i should use (mv 1 initial) (mv 2 initial) = (mv 1 final) (mv 1 initial) but why is it again that i cannot use what i used in #1??
 
becuase it is an inelastic collision and there is energy loss?
 
nvm, ignore #4, i don't know what I am talking about
 
oh haha, ok, i take that back. it IS an inelastic collision and so the equation i must use is (mv1 in) + (mv2 in) = (m1+m2)(Vfin)
 
jaded18 said:
oh haha, ok, i take that back. it IS an inelastic collision and so the equation i must use is (mv1 in) + (mv2 in) = (m1+m2)(Vfin)

yes, exactly.
 
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