Two object collision question impossible

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Homework Help Overview

The problem involves a granite cube sliding down a frictionless ramp and colliding with a steel cube at rest. The goal is to determine the height from which the granite cube should be released to achieve a specific speed for the steel cube after the collision.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the use of conservation of energy and momentum to analyze the collision, questioning the assumptions about the nature of the collision (elastic vs. inelastic).

Discussion Status

Some participants have attempted to apply conservation principles but report discrepancies in their results. There is an ongoing exploration of whether the collision can be assumed to be elastic and how that affects the calculations. One participant suggests sharing their work for further insight into potential errors.

Contextual Notes

Participants note the importance of assumptions regarding the collision type and the implications of the ramp's angle on the calculations. There is a mention of a specific expected answer that some participants are trying to reconcile with their findings.

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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