- #1
mintsnapple
- 50
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Homework Statement
Homework Equations
v = wr
K_total = 1/2Mv^2 + 1/2Iw^2
L = Iw
p = mv
The Attempt at a Solution
a. No friction or other outside forces are acting on the system, so linear momentum is conserved.
The collision is elastic, so kinetic energy is conserved.
There are no external torques so angular momentum is also conserved.
b. We can now write our conservation laws:
Linear momentum: Mv_0 = Mv_f + Mv_f
Energy: 1/2Mv_0^2 = 1/2Mv_f^2 + 1/2Iw_f^2
Angular momentum: MRv_0 = Iw + MRv_f
Is my thinking correct so far?