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

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## Uniform circular motion proof

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This document contains either a study guide OR pairs of exams taken from the same exam bank
If two exams have the same s-number, then v1 and v2 have the same questions, presented in different (random) order.
Exams with different s-numbers have different questions and may not have the same difficulty.
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At the end of this document
Attribution for the quizzes identifies where the questions were obtained

### Uniform circular motion proof-v1s1

1.
Is ${\displaystyle rd\ell =vdv}$ valid for uniform circular motion?

___ a) Yes
___ b) No

2.
Is ${\displaystyle dv/d\ell =v/r}$ valid for uniform circular motion?

___ a) Yes
___ b) No

3.
Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

___ a) Yes
___ b) No

4.
Is ${\displaystyle dv/d\ell =r/v}$ valid for uniform circular motion?

___ a) Yes
___ b) No

5.
Is ${\displaystyle d\ell /dv=v/r}$ valid for uniform circular motion?

___ a) Yes
___ b) No

6.
Is ${\displaystyle v/d\ell =r/dv}$ valid for uniform circular motion?

___ a) Yes
___ b) No

7.
Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

___ a) Yes
___ b) No

8.
Is ${\displaystyle dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|}$ valid for uniform circular motion?

___ a) Yes
___ b) No

9.
Is ${\displaystyle d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|}$ valid for uniform circular motion?

___ a) Yes
___ b) No

10.
Is ${\displaystyle dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|}$ valid for uniform circular motion?

___ a) Yes
___ b) No

11.
Is ${\displaystyle d\ell =vdt}$ valid for uniform circular motion?

___ a) Yes
___ b) No

12.
Is ${\displaystyle dv/r=d\ell /v}$ valid for uniform circular motion?

___ a) Yes
___ b) No

13.
Is ${\displaystyle |d{\vec {v}}|=adt}$ valid for uniform circular motion?

___ a) Yes
___ b) No

14.
Is ${\displaystyle d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|}$ valid for uniform circular motion?

___ a) Yes
___ b) No

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

1.
Is ${\displaystyle rd\ell =vdv}$ valid for uniform circular motion?

- a) Yes
+ b) No

2.
Is ${\displaystyle dv/d\ell =v/r}$ valid for uniform circular motion?

+ a) Yes
- b) No

3.
Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

+ a) Yes
- b) No

4.
Is ${\displaystyle dv/d\ell =r/v}$ valid for uniform circular motion?

- a) Yes
+ b) No

5.
Is ${\displaystyle d\ell /dv=v/r}$ valid for uniform circular motion?

- a) Yes
+ b) No

6.
Is ${\displaystyle v/d\ell =r/dv}$ valid for uniform circular motion?

- a) Yes
+ b) No

7.
Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

+ a) Yes
- b) No

8.
Is ${\displaystyle dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|}$ valid for uniform circular motion?

+ a) Yes
- b) No

9.
Is ${\displaystyle d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|}$ valid for uniform circular motion?

- a) Yes
+ b) No

10.
Is ${\displaystyle dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|}$ valid for uniform circular motion?

- a) Yes
+ b) No

11.
Is ${\displaystyle d\ell =vdt}$ valid for uniform circular motion?

+ a) Yes
- b) No

12.
Is ${\displaystyle dv/r=d\ell /v}$ valid for uniform circular motion?

- a) Yes
+ b) No

13.
Is ${\displaystyle |d{\vec {v}}|=adt}$ valid for uniform circular motion?

+ a) Yes
- b) No

14.
Is ${\displaystyle d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|}$ valid for uniform circular motion?

+ a) Yes
- b) No

### Uniform circular motion proof-v2s1

1.
Is ${\displaystyle dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|}$ valid for uniform circular motion?

___ a) Yes
___ b) No

2.
Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

___ a) Yes
___ b) No

3.
Is ${\displaystyle rd\ell =vdv}$ valid for uniform circular motion?

___ a) Yes
___ b) No

4.
Is ${\displaystyle v/d\ell =r/dv}$ valid for uniform circular motion?

___ a) Yes
___ b) No

5.
Is ${\displaystyle d\ell =vdt}$ valid for uniform circular motion?

___ a) Yes
___ b) No

6.
Is ${\displaystyle d\ell /dv=v/r}$ valid for uniform circular motion?

___ a) Yes
___ b) No

7.
Is ${\displaystyle dv/r=d\ell /v}$ valid for uniform circular motion?

___ a) Yes
___ b) No

8.
Is ${\displaystyle dv/d\ell =r/v}$ valid for uniform circular motion?

___ a) Yes
___ b) No

9.
Is ${\displaystyle dv/d\ell =v/r}$ valid for uniform circular motion?

___ a) Yes
___ b) No

10.
Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

___ a) Yes
___ b) No

11.
Is ${\displaystyle d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|}$ valid for uniform circular motion?

___ a) Yes
___ b) No

12.
Is ${\displaystyle |d{\vec {v}}|=adt}$ valid for uniform circular motion?

___ a) Yes
___ b) No

13.
Is ${\displaystyle d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|}$ valid for uniform circular motion?

___ a) Yes
___ b) No

14.
Is ${\displaystyle dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|}$ valid for uniform circular motion?

___ a) Yes
___ b) No

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

1.
Is ${\displaystyle dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|}$ valid for uniform circular motion?

- a) Yes
+ b) No

2.
Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

+ a) Yes
- b) No

3.
Is ${\displaystyle rd\ell =vdv}$ valid for uniform circular motion?

- a) Yes
+ b) No

4.
Is ${\displaystyle v/d\ell =r/dv}$ valid for uniform circular motion?

- a) Yes
+ b) No

5.
Is ${\displaystyle d\ell =vdt}$ valid for uniform circular motion?

+ a) Yes
- b) No

6.
Is ${\displaystyle d\ell /dv=v/r}$ valid for uniform circular motion?

- a) Yes
+ b) No

7.
Is ${\displaystyle dv/r=d\ell /v}$ valid for uniform circular motion?

- a) Yes
+ b) No

8.
Is ${\displaystyle dv/d\ell =r/v}$ valid for uniform circular motion?

- a) Yes
+ b) No

9.
Is ${\displaystyle dv/d\ell =v/r}$ valid for uniform circular motion?

+ a) Yes
- b) No

10.
Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

+ a) Yes
- b) No

11.
Is ${\displaystyle d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|}$ valid for uniform circular motion?

- a) Yes
+ b) No

12.
Is ${\displaystyle |d{\vec {v}}|=adt}$ valid for uniform circular motion?

+ a) Yes
- b) No

13.
Is ${\displaystyle d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|}$ valid for uniform circular motion?

+ a) Yes
- b) No

14.
Is ${\displaystyle dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|}$ valid for uniform circular motion?

+ a) Yes
- b) No

### Uniform circular motion proof-v1s2

1.
Is ${\displaystyle d\ell /dv=v/r}$ valid for uniform circular motion?

___ a) Yes
___ b) No

2.
Is ${\displaystyle |d{\vec {v}}|=adt}$ valid for uniform circular motion?

___ a) Yes
___ b) No

3.
Is ${\displaystyle v/d\ell =r/dv}$ valid for uniform circular motion?

___ a) Yes
___ b) No

4.
Is ${\displaystyle dv/d\ell =r/v}$ valid for uniform circular motion?

___ a) Yes
___ b) No

5.
Is ${\displaystyle dv/r=d\ell /v}$ valid for uniform circular motion?

___ a) Yes
___ b) No

6.
Is ${\displaystyle rd\ell =vdv}$ valid for uniform circular motion?

___ a) Yes
___ b) No

7.
Is ${\displaystyle d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|}$ valid for uniform circular motion?

___ a) Yes
___ b) No

8.
Is ${\displaystyle dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|}$ valid for uniform circular motion?

___ a) Yes
___ b) No

9.
Is ${\displaystyle d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|}$ valid for uniform circular motion?

___ a) Yes
___ b) No

10.
Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

___ a) Yes
___ b) No

11.
Is ${\displaystyle dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|}$ valid for uniform circular motion?

___ a) Yes
___ b) No

12.
Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

___ a) Yes
___ b) No

13.
Is ${\displaystyle dv/d\ell =v/r}$ valid for uniform circular motion?

___ a) Yes
___ b) No

14.
Is ${\displaystyle d\ell =vdt}$ valid for uniform circular motion?

___ a) Yes
___ b) No

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

1.
Is ${\displaystyle d\ell /dv=v/r}$ valid for uniform circular motion?

- a) Yes
+ b) No

2.
Is ${\displaystyle |d{\vec {v}}|=adt}$ valid for uniform circular motion?

+ a) Yes
- b) No

3.
Is ${\displaystyle v/d\ell =r/dv}$ valid for uniform circular motion?

- a) Yes
+ b) No

4.
Is ${\displaystyle dv/d\ell =r/v}$ valid for uniform circular motion?

- a) Yes
+ b) No

5.
Is ${\displaystyle dv/r=d\ell /v}$ valid for uniform circular motion?

- a) Yes
+ b) No

6.
Is ${\displaystyle rd\ell =vdv}$ valid for uniform circular motion?

- a) Yes
+ b) No

7.
Is ${\displaystyle d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|}$ valid for uniform circular motion?

+ a) Yes
- b) No

8.
Is ${\displaystyle dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|}$ valid for uniform circular motion?

- a) Yes
+ b) No

9.
Is ${\displaystyle d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|}$ valid for uniform circular motion?

- a) Yes
+ b) No

10.
Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

+ a) Yes
- b) No

11.
Is ${\displaystyle dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|}$ valid for uniform circular motion?

+ a) Yes
- b) No

12.
Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

+ a) Yes
- b) No

13.
Is ${\displaystyle dv/d\ell =v/r}$ valid for uniform circular motion?

+ a) Yes
- b) No

14.
Is ${\displaystyle d\ell =vdt}$ valid for uniform circular motion?

+ a) Yes
- b) No

### Uniform circular motion proof-v2s2

1.
Is ${\displaystyle dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|}$ valid for uniform circular motion?

___ a) Yes
___ b) No

2.
Is ${\displaystyle d\ell =vdt}$ valid for uniform circular motion?

___ a) Yes
___ b) No

3.
Is ${\displaystyle rd\ell =vdv}$ valid for uniform circular motion?

___ a) Yes
___ b) No

4.
Is ${\displaystyle v/d\ell =r/dv}$ valid for uniform circular motion?

___ a) Yes
___ b) No

5.
Is ${\displaystyle |d{\vec {v}}|=adt}$ valid for uniform circular motion?

___ a) Yes
___ b) No

6.
Is ${\displaystyle dv/d\ell =v/r}$ valid for uniform circular motion?

___ a) Yes
___ b) No

7.
Is ${\displaystyle dv/d\ell =r/v}$ valid for uniform circular motion?

___ a) Yes
___ b) No

8.
Is ${\displaystyle d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|}$ valid for uniform circular motion?

___ a) Yes
___ b) No

9.
Is ${\displaystyle d\ell /dv=v/r}$ valid for uniform circular motion?

___ a) Yes
___ b) No

10.
Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

___ a) Yes
___ b) No

11.
Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

___ a) Yes
___ b) No

12.
Is ${\displaystyle dv/r=d\ell /v}$ valid for uniform circular motion?

___ a) Yes
___ b) No

13.
Is ${\displaystyle d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|}$ valid for uniform circular motion?

___ a) Yes
___ b) No

14.
Is ${\displaystyle dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|}$ valid for uniform circular motion?

___ a) Yes
___ b) No

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

1.
Is ${\displaystyle dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|}$ valid for uniform circular motion?

- a) Yes
+ b) No

2.
Is ${\displaystyle d\ell =vdt}$ valid for uniform circular motion?

+ a) Yes
- b) No

3.
Is ${\displaystyle rd\ell =vdv}$ valid for uniform circular motion?

- a) Yes
+ b) No

4.
Is ${\displaystyle v/d\ell =r/dv}$ valid for uniform circular motion?

- a) Yes
+ b) No

5.
Is ${\displaystyle |d{\vec {v}}|=adt}$ valid for uniform circular motion?

+ a) Yes
- b) No

6.
Is ${\displaystyle dv/d\ell =v/r}$ valid for uniform circular motion?

+ a) Yes
- b) No

7.
Is ${\displaystyle dv/d\ell =r/v}$ valid for uniform circular motion?

- a) Yes
+ b) No

8.
Is ${\displaystyle d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|}$ valid for uniform circular motion?

+ a) Yes
- b) No

9.
Is ${\displaystyle d\ell /dv=v/r}$ valid for uniform circular motion?

- a) Yes
+ b) No

10.
Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

+ a) Yes
- b) No

11.
Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

+ a) Yes
- b) No

12.
Is ${\displaystyle dv/r=d\ell /v}$ valid for uniform circular motion?

- a) Yes
+ b) No

13.
Is ${\displaystyle d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|}$ valid for uniform circular motion?

- a) Yes
+ b) No

14.
Is ${\displaystyle dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|}$ valid for uniform circular motion?

+ a) Yes
- b) No