Elastic Collisions in One Dimension with Multiple Unknowns











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Question as follows:



“A ball of mass m moving with speed kV on a smooth table catches up and collides with another ball of mass λ m moving with speed V travelling in the same direction on the table. The impact reduces the first ball to rest.
Find the coefficient of restitution in terms of k and λ ”



My working is as follows:
question working



The ‘before = after’ section is in reference to the momentum.



Have I so far done something incorrect? Or, is my method even correct? The answer to the question seems nearly impossible to achieve considering the path the working is currently going on.






classical-mechanics







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  • Can you use MathJax for your formulas instead?
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up vote
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favorite












Question as follows:



“A ball of mass m moving with speed kV on a smooth table catches up and collides with another ball of mass λ m moving with speed V travelling in the same direction on the table. The impact reduces the first ball to rest.
Find the coefficient of restitution in terms of k and λ ”



My working is as follows:
question working



The ‘before = after’ section is in reference to the momentum.



Have I so far done something incorrect? Or, is my method even correct? The answer to the question seems nearly impossible to achieve considering the path the working is currently going on.






classical-mechanics







share|cite|improve this question
























  • Can you use MathJax for your formulas instead?
    – Rafa Budría
    yesterday













up vote
0
down vote

favorite









up vote
0
down vote

favorite











Question as follows:



“A ball of mass m moving with speed kV on a smooth table catches up and collides with another ball of mass λ m moving with speed V travelling in the same direction on the table. The impact reduces the first ball to rest.
Find the coefficient of restitution in terms of k and λ ”



My working is as follows:
question working



The ‘before = after’ section is in reference to the momentum.



Have I so far done something incorrect? Or, is my method even correct? The answer to the question seems nearly impossible to achieve considering the path the working is currently going on.






classical-mechanics







share|cite|improve this question















Question as follows:



“A ball of mass m moving with speed kV on a smooth table catches up and collides with another ball of mass λ m moving with speed V travelling in the same direction on the table. The impact reduces the first ball to rest.
Find the coefficient of restitution in terms of k and λ ”



My working is as follows:
question working



The ‘before = after’ section is in reference to the momentum.



Have I so far done something incorrect? Or, is my method even correct? The answer to the question seems nearly impossible to achieve considering the path the working is currently going on.






classical-mechanics




classical-mechanics






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share|cite|improve this question













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Gabriel

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  • Can you use MathJax for your formulas instead?
    – Rafa Budría
    yesterday


















  • Can you use MathJax for your formulas instead?
    – Rafa Budría
    yesterday
















Can you use MathJax for your formulas instead?
– Rafa Budría
yesterday




Can you use MathJax for your formulas instead?
– Rafa Budría
yesterday















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