A 30 kg child moving at 4 m/s jumps onto a 50 kg sled that is initiall

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SUMMARY

The discussion centers on a physics problem involving a 30 kg child jumping onto a 50 kg sled on a frictionless surface. The solution utilizes the conservation of momentum principle, expressed by the equation (30)(4) = (30+50)(v), where 'v' represents the final velocity of the child-sled system. This scenario exemplifies a totally inelastic collision, as both the child and sled move together post-collision, resulting in momentum conservation without external forces. Understanding this concept is crucial for solving similar problems in mechanics.

PREREQUISITES
  • Understanding of basic physics concepts, particularly momentum.
  • Familiarity with the principles of collisions, specifically inelastic collisions.
  • Knowledge of equations of motion and their applications.
  • Ability to perform algebraic manipulations to solve for unknown variables.
NEXT STEPS
  • Study the principles of conservation of momentum in various types of collisions.
  • Learn about inelastic collisions and how they differ from elastic collisions.
  • Explore real-world applications of momentum conservation in sports and vehicle collisions.
  • Review algebraic techniques for solving physics equations effectively.
USEFUL FOR

This discussion is beneficial for students studying physics, particularly those learning about momentum and collisions, as well as educators seeking to clarify these concepts for their students.

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Homework Statement


A 30 kg child moving at 4 m/s jumps onto a 50 kg sled that is initially on a frictionless surface. Find the speed of the child-sled system after it jumps onto the sled
I know the solution looks like this
(30)(4)=(30+50)(v)
but i don't know why and what that equation is?
 
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You should look up momentum or collisions thru a web search or text. It is the conservation of momentum equation for a 'totally inelastic' collision. Please indicate why this collision is totally inelastic; but in general, momentum is always conserved in any type collision when no external forces are present.
 


Thanks PhantomJay. I read about it and it makes sense. We haven't learned momentum yet so I was confused on what they were doing.
 

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