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

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## Uniform circular motion proof

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### Uniform circular motion proof-v1s1

$rd\ell =vdv$
    ___ a) Yes
    ___ b) No
$dv/d\ell =v/r$
    ___ a) Yes
    ___ b) No
$dv=adt$
    ___ a) Yes
    ___ b) No
$dv/d\ell =r/v$
    ___ a) Yes
    ___ b) No
$d\ell /dv=v/r$
    ___ a) Yes
    ___ b) No
$v/d\ell =r/dv$
    ___ a) Yes
    ___ b) No
$adt/v=vdt/r$
    ___ a) Yes
    ___ b) No
$dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$
    ___ a) Yes
    ___ b) No
$d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$
    ___ a) Yes
    ___ b) No
$dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$
    ___ a) Yes
    ___ b) No
$d\ell =vdt$
    ___ a) Yes
    ___ b) No
$dv/r=d\ell /v$
    ___ a) Yes
    ___ b) No
$|d{\vec {v}}|=adt$
    ___ a) Yes
    ___ b) No
$d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$
    ___ a) Yes
    ___ b) No

#### Key to Uniform circular motion proof-v1s1

$rd\ell =vdv$
       - a) Yes
       + b) No
$dv/d\ell =v/r$
       + a) Yes
       - b) No
$dv=adt$
       + a) Yes
       - b) No
$dv/d\ell =r/v$
       - a) Yes
       + b) No
$d\ell /dv=v/r$
       - a) Yes
       + b) No
$v/d\ell =r/dv$
       - a) Yes
       + b) No
$adt/v=vdt/r$
       + a) Yes
       - b) No
$dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$
       + a) Yes
       - b) No
$d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$
       - a) Yes
       + b) No
$dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$
       - a) Yes
       + b) No
$d\ell =vdt$
       + a) Yes
       - b) No
$dv/r=d\ell /v$
       - a) Yes
       + b) No
$|d{\vec {v}}|=adt$
       + a) Yes
       - b) No
$d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$
       + a) Yes
       - b) No

### Uniform circular motion proof-v2s1

$dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$
    ___ a) Yes
    ___ b) No
$adt/v=vdt/r$
    ___ a) Yes
    ___ b) No
$rd\ell =vdv$
    ___ a) Yes
    ___ b) No
$v/d\ell =r/dv$
    ___ a) Yes
    ___ b) No
$d\ell =vdt$
    ___ a) Yes
    ___ b) No
$d\ell /dv=v/r$
    ___ a) Yes
    ___ b) No
$dv/r=d\ell /v$
    ___ a) Yes
    ___ b) No
$dv/d\ell =r/v$
    ___ a) Yes
    ___ b) No
$dv/d\ell =v/r$
    ___ a) Yes
    ___ b) No
$dv=adt$
    ___ a) Yes
    ___ b) No
$d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$
    ___ a) Yes
    ___ b) No
$|d{\vec {v}}|=adt$
    ___ a) Yes
    ___ b) No
$d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$
    ___ a) Yes
    ___ b) No
$dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$
    ___ a) Yes
    ___ b) No

#### Key to Uniform circular motion proof-v2s1

$dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$
       - a) Yes
       + b) No
$adt/v=vdt/r$
       + a) Yes
       - b) No
$rd\ell =vdv$
       - a) Yes
       + b) No
$v/d\ell =r/dv$
       - a) Yes
       + b) No
$d\ell =vdt$
       + a) Yes
       - b) No
$d\ell /dv=v/r$
       - a) Yes
       + b) No
$dv/r=d\ell /v$
       - a) Yes
       + b) No
$dv/d\ell =r/v$
       - a) Yes
       + b) No
$dv/d\ell =v/r$
       + a) Yes
       - b) No
$dv=adt$
       + a) Yes
       - b) No
$d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$
       - a) Yes
       + b) No
$|d{\vec {v}}|=adt$
       + a) Yes
       - b) No
$d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$
       + a) Yes
       - b) No
$dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$
       + a) Yes
       - b) No

### Uniform circular motion proof-v1s2

$d\ell /dv=v/r$
    ___ a) Yes
    ___ b) No
$|d{\vec {v}}|=adt$
    ___ a) Yes
    ___ b) No
$v/d\ell =r/dv$
    ___ a) Yes
    ___ b) No
$dv/d\ell =r/v$
    ___ a) Yes
    ___ b) No
$dv/r=d\ell /v$
    ___ a) Yes
    ___ b) No
$rd\ell =vdv$
    ___ a) Yes
    ___ b) No
$d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$
    ___ a) Yes
    ___ b) No
$dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$
    ___ a) Yes
    ___ b) No
$d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$
    ___ a) Yes
    ___ b) No
$dv=adt$
    ___ a) Yes
    ___ b) No
$dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$
    ___ a) Yes
    ___ b) No
$adt/v=vdt/r$
    ___ a) Yes
    ___ b) No
$dv/d\ell =v/r$
    ___ a) Yes
    ___ b) No
$d\ell =vdt$
    ___ a) Yes
    ___ b) No

#### Key to Uniform circular motion proof-v1s2

$d\ell /dv=v/r$
       - a) Yes
       + b) No
$|d{\vec {v}}|=adt$
       + a) Yes
       - b) No
$v/d\ell =r/dv$
       - a) Yes
       + b) No
$dv/d\ell =r/v$
       - a) Yes
       + b) No
$dv/r=d\ell /v$
       - a) Yes
       + b) No
$rd\ell =vdv$
       - a) Yes
       + b) No
$d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$
       + a) Yes
       - b) No
$dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$
       - a) Yes
       + b) No
$d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$
       - a) Yes
       + b) No
$dv=adt$
       + a) Yes
       - b) No
$dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$
       + a) Yes
       - b) No
$adt/v=vdt/r$
       + a) Yes
       - b) No
$dv/d\ell =v/r$
       + a) Yes
       - b) No
$d\ell =vdt$
       + a) Yes
       - b) No

### Uniform circular motion proof-v2s2

$dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$
    ___ a) Yes
    ___ b) No
$d\ell =vdt$
    ___ a) Yes
    ___ b) No
$rd\ell =vdv$
    ___ a) Yes
    ___ b) No
$v/d\ell =r/dv$
    ___ a) Yes
    ___ b) No
$|d{\vec {v}}|=adt$
    ___ a) Yes
    ___ b) No
$dv/d\ell =v/r$
    ___ a) Yes
    ___ b) No
$dv/d\ell =r/v$
    ___ a) Yes
    ___ b) No
$d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$
    ___ a) Yes
    ___ b) No
$d\ell /dv=v/r$
    ___ a) Yes
    ___ b) No
$dv=adt$
    ___ a) Yes
    ___ b) No
$adt/v=vdt/r$
    ___ a) Yes
    ___ b) No
$dv/r=d\ell /v$
    ___ a) Yes
    ___ b) No
$d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$
    ___ a) Yes
    ___ b) No
$dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$
    ___ a) Yes
    ___ b) No

#### Key to Uniform circular motion proof-v2s2

$dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$
       - a) Yes
       + b) No
$d\ell =vdt$
       + a) Yes
       - b) No
$rd\ell =vdv$
       - a) Yes
       + b) No
$v/d\ell =r/dv$
       - a) Yes
       + b) No
$|d{\vec {v}}|=adt$
       + a) Yes
       - b) No
$dv/d\ell =v/r$
       + a) Yes
       - b) No
$dv/d\ell =r/v$
       - a) Yes
       + b) No
$d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$
       + a) Yes
       - b) No
$d\ell /dv=v/r$
       - a) Yes
       + b) No
$dv=adt$
       + a) Yes
       - b) No
$adt/v=vdt/r$
       + a) Yes
       - b) No
$dv/r=d\ell /v$
       - a) Yes
       + b) No
$d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$
       - a) Yes
       + b) No
$dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$
       + a) Yes
       - b) No

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    https://en.wikiversity.org/w/index.php?title=Physics_equations/06-Uniform_Circular_Motion_and_Gravitation/Q:derive&oldid=1411691

   ##### Study guide

    Physics_equations#Uniform_Circular_Motion_and_Gravitation