An object of mass m1 = m and an object of mass m2 = 2m move around a rotation axis A in parallel circles of radii r1 = 2r and radii r2 = r, with tangential speeds v1 = 2v and v2 = v, as shown. As they rotate, forces of equal magnitude are applied opposite to their velocities to stop them. Which statement is correct? m2 will stop first because it has the smaller initial tangential speed Both objects will stop at the same time because their angular speeds are equal at all times m2 will stop first because it has the smaller radius m2 will stop first because it has a smaller moment of inertia m1 will stop first because it has the smaller initial angular velocity m1 will stop first because the torque on it is greater

An Introduction to Physical Science
14th Edition
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Chapter1: Measurement
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An object of mass m1 = m and an object of mass m2 = 2m move around a rotation axis A in parallel circles of radii r1 = 2r and radii r2 = r, with tangential speeds v1 = 2v and v2 = v, as shown. As they rotate, forces of equal magnitude are applied opposite to their velocities to stop them.

Which statement is correct?

  1. m2 will stop first because it has the smaller initial tangential speed
  2. Both objects will stop at the same time because their angular speeds are equal at all times
  3. m2 will stop first because it has the smaller radius
  4. m2 will stop first because it has a smaller moment of inertia
  5. m1 will stop first because it has the smaller initial angular velocity
  6. m1 will stop first because the torque on it is greater
2v
2m
Transcribed Image Text:2v 2m
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