Is This a Case of Inelastic Collision?

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SUMMARY

This discussion centers on a physics problem involving an inelastic collision between two wooden blocks with masses of 8 kg and 4 kg. The blocks approach each other at a relative speed of 16 m/s and separate at a relative speed of 6 m/s after the collision. The initial velocity of the 8 kg block is 7 m/s North. The conclusion confirms that the collision is indeed inelastic, as the relative velocities before and after the impact do not satisfy the elastic collision equation.

PREREQUISITES
  • Understanding of Newton's Second Law (f=ma)
  • Knowledge of impulse and momentum (F x delta T = delta P)
  • Familiarity with the principles of elastic and inelastic collisions
  • Ability to apply conservation laws in physics problems
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  • Study the conservation of momentum in inelastic collisions
  • Learn how to calculate velocities after inelastic collisions
  • Explore the differences between elastic and inelastic collisions
  • Review examples of collision problems in classical mechanics
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Students studying physics, particularly those focusing on mechanics and collision theory, as well as educators seeking to clarify concepts of momentum and energy conservation in collisions.

jemerlia
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Homework Statement



Two wooden blocks of mass 8 kg and 4 kg respectively approach
each other from opposite directions on a smooth level surface at a
relative speed of 16 m s^1 . After a head-on collision they separate
at a relative speed of 6 m s^1 . The initial velocity of the 8 kg block
was 7 m s -1 North. Find the velocity of
(a) the 4 kg block immediately before the impact;
(b) the 8 kg block immediately after the impact;
(c) the 4 kg block immediately after the impact.


Homework Equations



f=ma
F x delta T= delta P

For an elastic collision
va-vb = -(va'-vb')

The Attempt at a Solution



Part (a) is straightforward

Part (b) appears awkward because the collision seems inelastic because
the relative velocity after impact is different in magnitude to that before
impact and doesn't follow the relationship:
va-vb = -(va'-vb')

Am I correct in assuming the collision to be inelastic?
How does one approach a solution to problem (b)?

Help and guidance gratefully received.
 
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jemerlia said:
Am I correct in assuming the collision to be inelastic?
Yes.
How does one approach a solution to problem (b)?
By making full use of the given information (the relative velocity after the collision) and applicable conservation laws (what's conserved?).
 

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