- #1
seanpk92
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Homework Statement
A 20.00kg lead sphere is hanging from a hook by a thin wire 3.50m long, and is free to swing in a complete circle. Suddenly it is struck horizontally by a 5.00kg dart that embeds itself in the lead sphere. What must be the minimum initial speed of the dart so that the combination makes a complete circular loop after the collision?
Homework Equations
w = omega
a = alpha
[STRIKE]o[/STRIKE] = theta
a = (rw)^2
w = w(i) + at
[STRIKE]o[/STRIKE] = [STRIKE]o[/STRIKE](i) + w(i)t + .5at^2
m(a1)v(a1) + m(b1)v(b1) = (m[a] + m)*v(2)
acc(rad) = v^2/R
The Attempt at a Solution
m(a1) = 20kg m(b1) = 5kg
v(a1) = 0m/s v(b1) = ?m/s r = 3.5m
20*0 + 5*? = 25*v(2)
I have no idea what to do with this. Like so I find velocity first?