Physics equations/06-Uniform Circular Motion and Gravitation/Q:derive


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The following derivation of a=v2/r for uniform circular motion needs to be studied before the student attempts this quiz:

Practice quiz
all of these questions refer to this image:

{ Is $$dv/d\ell=v/r$$ valid for uniform circular motion? } + Yes - No { Is $$dv=|\vec v_2-\vec v_1|$$ valid for uniform circular motion? } + Yes - No { Is $$d\ell=vdt$$ valid for uniform circular motion? } + Yes - No { Is $$adt/v =vdt/ r$$ valid for uniform circular motion? } + Yes - No { Is $$dv=adt$$ valid for uniform circular motion? } + Yes - No { Is $$|d\vec v|=adt$$ valid for uniform circular motion? } + Yes - No { Is $$d\ell=|\vec r_2-\vec r_1|$$ valid for uniform circular motion? } + Yes - No { Is $$d\ell=|\vec r_2|-|\vec r_1|$$ valid for uniform circular motion? } - Yes + No { Is $$v/d\ell=r/dv$$ valid for uniform circular motion? } - Yes + No { Is $$dv/r=d\ell/v$$ valid for uniform circular motion? } - Yes + No { Is $$rd\ell=vdv$$ valid for uniform circular motion? } - Yes + No { Is $$dv=|\vec v_2|-|\vec v_1|$$ valid for uniform circular motion? } - Yes + No { Is $$d\ell/dv=v/r$$ valid for uniform circular motion? } - Yes + No { Is $$dv/d\ell=r/v$$ valid for uniform circular motion? } - Yes + No