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Which of the following quantities are conserved throughout this problem for the system consisting of the boy and the merry-go-round?

A) only kinetic energy

B) kinetic energy and angular momentum

C) only linear momentum

D) linear momentum and angular momentum

E) only angular momentum

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I believe the answer is D, linear momentum AND angular momentum because both are conserved regardless of an inelastic or elastic collision right?

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Can somebody please check out my answer and help me if it is wrong? Thank you very much in advance.