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Woolyabyss
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Homework Statement
Two Smooth spheres of masses m and 3m move with speeds u and v in opposite directions. The smaller mass is brought to rest.
(i) show that the coefficient of restitution,e, is given by e =(u - 3v)/(3u + 3v)
(ii) show that u ≥ 3v
Homework Equations
m1u1 + m2u2 = m1v1 + m2v2
(v1 - v2)/(u1 - u2) = -e
The Attempt at a Solution
(i)
let x equal speed of bigger object after impact
3mv + m(-u) = 3mx
x = (3v -u)/3
using (v1 - v2)/(u1 - u2) = -e
x/(v -(-u) ) = -e
substitute value for x
(3v -u)/(3v + 3u) = -e
e = (u - 3v)/(3v + 3u)
(ii)
can somebody help with this part? I have no Idea how to turn this into an inequality.
Any help would be appreciated
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