Two object collision question impossible

AI Thread Summary
A 100g granite cube slides down a frictionless ramp and collides with a 200g steel cube, raising the question of how high the granite cube must be released to give the steel cube a speed of 150 cm/s. The discussion highlights attempts to solve the problem using conservation of energy and momentum, with conflicting results regarding the correct height. Some participants suggest that assuming a perfectly elastic collision is essential for finding the right answer, which should be 25.9 cm. Despite this, one user consistently arrives at 23 cm, indicating a possible error in their calculations. The conversation emphasizes the importance of clarifying assumptions about the collision type to resolve the discrepancy.
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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