A certain merry-go-round is accelerated uniformly from rest and attains an angular speed of \( 0...

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A certain merry-go-round is accelerated uniformly from rest and attains an angular speed of \( 0.4 \mathrm{rad} / \mathrm{s} \) in the first \( 10 \mathrm{~s} \). If the net applied torque is \( 2000 \mathrm{~N} \cdot \mathrm{m} \), what is the moment of inertia of the merry-go-round?
(A) \( 400 \mathrm{~kg} \cdot \mathrm{m}^{2} \)
(B) \( 800 \mathrm{~kg} \cdot \mathrm{m}^{2} \)
(C) \( 50000 \mathrm{~kg} \cdot \mathrm{m}^{2} \)
(D) \( 5000 \mathrm{~kg} \cdot \mathrm{m}^{2} \)
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