Two object collision question impossible

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SUMMARY

The problem involves a 100g granite cube sliding down a 40-degree frictionless ramp, colliding with a 200g steel cube at rest on a horizontal table. The goal is to determine the height from which the granite cube should be released to give the steel cube a speed of 150 cm/s. The discussion highlights the use of conservation of energy and momentum, with the correct answer being 25.9 cm, while some participants reported obtaining 23 cm. It is established that assuming a perfectly elastic collision allows for the correct application of conservation principles.

PREREQUISITES
  • Understanding of conservation of energy principles
  • Knowledge of conservation of momentum in collisions
  • Familiarity with elastic and inelastic collision concepts
  • Basic trigonometry related to angles and ramp physics
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  • Study the principles of conservation of energy in elastic collisions
  • Learn about the mathematical modeling of collisions in physics
  • Explore the effects of angle on projectile motion and energy transfer
  • Review problem-solving techniques for conservation of momentum
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Students studying physics, particularly those focusing on mechanics and collision problems, as well as educators seeking to clarify concepts of energy and momentum in elastic collisions.

mrjoe2
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Homework Statement


a 100g granite cube slides down a 40 degree frctionless ramp. at the bottom, just as it exits onto a horizontal table, it collides with a 200g steel cube at rest. how high above the table should the granite cube be released to give the stell cube a speed of 150cm/s


Homework Equations


Ek=1/2mv^2
Eg=mgy
maybe Ptot=ptot'



The Attempt at a Solution


first i tried the problem with the conservation of energy where the energy from the first block is transferred to the second (the Ek of 1st block is transferred to Ek second block). that didnt work. then i tried the conservation of momentum but you can't use it because you don't know if it is a perfectly elastic collision of the cubes stick together. you cannot assume anything, so i think i need to utilize the conservation of momentum, but its not giving me the right answer! the answer should be 25.9cm and i keep getting 23cm. also, using the conservation of energy, the angle is irrelevant. try it to see if you get the correct answer. i really doubt you willlll! :P help!
 
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If one assumes that the collision is completely elastic and simply uses conservation of energy, where an angle is indeed irrelevant as you point out, then one should arrive at the correct answer.
 
In most general cases, if nothing is said about the elastic porperty of collision, we assume it to be a perfectly elastic one!
 
Hootenanny said:
If one assumes that the collision is completely elastic and simply uses conservation of energy, where an angle is indeed irrelevant as you point out, then one should arrive at the correct answer.

i used the conservation of energy with an elastic collision and it did not work. you can try it for yourself, the "correct" answer is posted!
 
mrjoe2 said:
i used the conservation of energy with an elastic collision and it did not work. you can try it for yourself, the "correct" answer is posted!
I did - and got the correct answer. Perhaps if you posted you're working we could point out where you're going wrong.
 

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