old M2 collision inequality question

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munkeh
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#1
Report Thread starter 16 years ago
#1
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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Ben.S.
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#2
Report 16 years ago
#2
(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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munkeh
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Report Thread starter 16 years ago
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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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Ben.S.
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Report 16 years ago
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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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munkeh
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#5
Report Thread starter 16 years ago
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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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