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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? 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 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

Glencoe Physics: Principles and Problems, Student Edition
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter1: A Physics Toolkit
Section: Chapter Questions
Problem 2STP
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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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