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old M2 collision inequality question watch

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    The Question goes:

    A small smooth sphere, mass 3kg moving on smooth horizontal plane speed 8ms-1 collides directly with sphere mass 12kg, which is at rest. Given the spheres move in opposite directions after collision, obtain the inequality satisfied by e

    I understand how to use the expression of the coefficient of restitution and how to use the conservation of momentum. I do not know enough about working with inequalities.

    Can somebody help?
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    (Original post by munkeh)
    The Question goes:

    A small smooth sphere, mass 3kg moving on smooth horizontal plane speed 8ms-1 collides directly with sphere mass 12kg, which is at rest. Given the spheres move in opposite directions after collision, obtain the inequality satisfied by e

    I understand how to use the expression of the coefficient of restitution and how to use the conservation of momentum. I do not know enough about working with inequalities.

    Can somebody help?
    What speeds did you get?

    Ben
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    after, the speeds of both particles are unobtainable, since we don't know e and we dont know either of the velocities after collision
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    (Original post by munkeh)
    after, the speeds of both particles are unobtainable, since we don't know e and we dont know either of the velocities after collision
    You work them out in terms of e.
    Then say that one is bigger than the other and put this in terms of an inequality. You can then find an inequality in terms of e only, In this case it has something to do with 2/3.

    Ben
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    how do you manipulate two inequalities in terms of e into one, whilst eliminating the two other unknowns, call them v1 and v2
 
 
 
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