Momentum Problem: Find Speed of Block After Inelastic Collision

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SUMMARY

The discussion focuses on calculating the speed of block A after an inelastic collision with block B. Block A, with a mass of 5 kg, is released from a height of 5 m, resulting in a speed of 9.9 m/s just before impact. The collision is inelastic, meaning kinetic energy is not conserved. The correct approach involves using the conservation of momentum to find the final speed of both blocks after the collision, rather than relying solely on energy conservation principles.

PREREQUISITES
  • Understanding of conservation of momentum in inelastic collisions
  • Knowledge of gravitational potential energy and kinetic energy equations
  • Familiarity with basic physics concepts such as mass, velocity, and energy
  • Ability to solve quadratic equations for final velocities
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  • Study the principles of conservation of momentum in inelastic collisions
  • Learn how to apply the equations for gravitational potential energy and kinetic energy
  • Explore examples of inelastic collisions in physics problems
  • Practice solving problems involving multiple objects and conservation laws
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of inelastic collisions and energy conservation principles in mechanics.

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* Block A of mass 5kg is released from the rest at height of 5m. Then it hits 10kg block B, which at ground level. The collision in inelastic. Find the speed of the block after the collision if the block B was intially at rest.


Attempt:

Ki+Ui=Kf+Uf, since the block was at rest, Ki=0, and it goes to ground level so, Uf=0, thus Ui=Kf.
mghi=1/2mvf2, 5*9.8*5=1/2(5)vf2, vf=9.9m/s


but the answer is wrong...please help someone
 
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Hi dsptl,

dsptl said:
* Block A of mass 5kg is released from the rest at height of 5m. Then it hits 10kg block B, which at ground level. The collision in inelastic. Find the speed of the block after the collision if the block B was intially at rest.


Attempt:

Ki+Ui=Kf+Uf, since the block was at rest, Ki=0, and it goes to ground level so, Uf=0, thus Ui=Kf.
mghi=1/2mvf2, 5*9.8*5=1/2(5)vf2, vf=9.9m/s


but the answer is wrong...please help someone


You've found the speed of block A right before the collision (assuming it slid freely down to ground level), but how do you take into account the effect of the collision itself? (By the way, since you mentioned that the collision was elastic, did you mean it was completely inelastic?)
 

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