Inelastic Collision on an inclined plane

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SUMMARY

The discussion focuses on solving an inelastic collision problem on an inclined plane using the laws of conservation of energy and momentum. The key steps involve calculating the height from the diagram using the given angle, applying the conservation of energy to find the velocity of mass 'm' as it reaches '2m', and then using the conservation of momentum to determine the final velocity 'v'' of the combined masses. The final step requires applying conservation of energy again to find the length 'l' based on the frictional force.

PREREQUISITES
  • Understanding of inelastic collisions in physics
  • Knowledge of the law of conservation of energy
  • Familiarity with the law of conservation of momentum
  • Basic trigonometry for calculating height from angles
NEXT STEPS
  • Study the principles of inelastic collisions in detail
  • Learn how to apply conservation of energy in various physics problems
  • Explore examples of momentum conservation in multi-object systems
  • Practice calculating frictional forces on inclined planes
USEFUL FOR

Students studying physics, particularly those tackling problems related to mechanics and collisions, as well as educators seeking to clarify concepts of energy and momentum conservation.

volpe923
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Okay so my physics teacher assigned us with some problems to complete and one of them in particular is really confusing me. Attached is a picture of the problem. It just really throws me off when we have to keep it in variable form. So if someone can just walk me through it a little it would be very appreciated. I'm not asking you to do my homework, i just need a little help.

Thanks,
Mike
 

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volpe923 said:
Okay so my physics teacher assigned us with some problems to complete and one of them in particular is really confusing me. Attached is a picture of the problem. It just really throws me off when we have to keep it in variable form. So if someone can just walk me through it a little it would be very appreciated. I'm not asking you to do my homework, i just need a little help.

Thanks,
Mike

Apply law of conservation of energy to find the velocity of 'm' till it reaches '2m'. Height can be calculated from diagram since angle is given.(h will come out 25m)
mgh =(1/2)mv2 + μ×(mg×cos30)×50m.
Solve this to find 'v'.
Apply law of conservation of momentum,
mv = (2m + m) v'.
v' = v/3.
Again apply law of conservation of energy,
(1/2)(3m)(v')2 = μ×(3mg)×(length'l').
Length 'l' is the required quantity which you will be able to calculate.
Enjoy.
 
Last edited:

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