A ballet dancer of mass 80 kg and a wingspan of 1m is executing a spin. She then folds her arms and brings them to within 20cm from the central axis of her body. If she was initially making 3 rotations per second, how many does she make now?

Correct answer: A. 75

  • A. 75
  • B. 8/3
  • C. 12
  • D. 6

Explanation

By law of conservation of momenrum;Iiwi = Ifwf1/2 mr12 wi = 1/2 mr22 wfr12 wi = r22 wf12 *3 = 0.22 wf3 = 0.04 wfwf = 75 revolutions per second.

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Scientific reasoning evaluates hypotheses through observations, variables, controls, measurements and experimental results. Questions involve identifying independent and dependent variables, recognising a fair test, interpreting tables or graphs, distinguishing evidence from opinion, and deciding whether data supports, rejects or leaves a hypothesis unresolved.

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