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Answer:
KE = 1/2 I ω^2
Given I = 2 kg m^2 and KE = 4 J
ω = (2 KE / I)^1/2 = (2 * 4 / 2)^1/2 = 2^1/2 sec
P = I ω definition of angular momentum
P = 2 kg m^2 * (2 KE / I)^1/2 / sec = 2 * 2^1/2 kg m^2 / sec