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AP Physics C: Mechanics

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. Rotational inertia (sphere)
??=at
I=I0+mh²
?a??b=ABcos?
I=?mr²

2. Kinetic energy (rotational)
KE=½I?²
t=?L/?t
?J=??p
?F=ma

3. Constant acceleration (velocity)
f=1/T
I=½mr²
?v=at
Only acting force is gravity - Apparent 'weightlessness'

4. Gravity
Only acting force is gravity - Apparent 'weightlessness'
g=9.8m/s² g=32ft/s²
?t=Ia
Work done is dependent on path taken - Frictional force - most applied forces

5. Spring force
md²x/dt²=-kx
F=-kx
?t=Ia
KE=½I?²

6. Shells
?a??b=ABcos?
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
?=x/r
PE=½kx

7. Equilibrium
?F=0 ?t=0
?F=ma
??=?t+½at²
?t=Ia

8. Angular velocity
F=-kx
?=v/r
PE=½kx
s=?r

9. Simple harmonic motion (acceleration)
I=½mr²
?v=at
g=9.8m/s² g=32ft/s²
a=-?²Acos(?t+?)

10. Torque (angular momentum)
t=?L/?t
?=v(k/m)
KE=½mv²
F=mv²/r

11. Frictional force
v=-?Acos(?t+?)
W=?KE
F=µFN
F=-GMm/r²

12. Force (radial)
I=mr²
?=v(g/L)
?a??b=ABcos?
F=mv²/r

13. Gravitational force
L=I?
ME=½kA²
F=-GMm/r²
?²=?0²+2a??

14. Work (kinetic energy)
If ?F=0 then ?p=0
I=I0+mh²
W=?KE
F=?p/?t

15. Angular momentum
t=?F??r
?a??b=ABsin?
?a??b=ABcos?
L=I?

16. Rockets
I=?mr²
??=?t+½at²
-dMu=Mdv
?J=??p

17. Frequency/Period
a=-?²Acos(?t+?)
f=1/T
v²=v0²+2a?x
If ?F=0 then ?p=0

18. Angular acceleration
?=v(g/L)
KE=½I?²
?=v/r
a=a/r

19. Arc length
??=at
s=?r
PE=-GMm/r
F=-GMm/r²

20. Rotational Inertia
If ?F=0 then ?p=0
Work done is dependent on path taken - Frictional force - most applied forces
I=mr²
??=?t+½at²

21. Constant acceleration (no time)
I=I0+mh²
v²=v0²+2a?x
W=?F???x
PE=mgh

22. Torque (force analog)
?t=Ia
a=a/r
W=?t????
I=mr²

23. Work (angular)
If ?F=0 then ?p=0
W=?F
f=1/T
W=?t????

24. Conservation of momentum
If ?F=0 then ?p=0
s=?r
I=I0+mh²
F=-GMm/r²

25. Work (integral)
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
ME=½kA²
W=?F
Work done is irrespective of path taken - Spring force - gravitational force

26. Torque
I=mr²
g=9.8m/s² g=32ft/s²
PE=mgh
t=?F??r

27. Inelastic collisions
Momentum is conserved - Kinetic energy is not conserved
g=9.8m/s² g=32ft/s²
v=-?Acos(?t+?)
?F=0 ?t=0

28. Impulse (integral)
J=?F
PE=-GMm/r
ME=½kA²
?F=ma

29. Constant acceleration (position)
f=1/T
?x=vt+½at²
v=-?Acos(?t+?)
W=?F

30. Force
?F=ma
t=?F??r
F=?p/?t
Work done is irrespective of path taken - Spring force - gravitational force

31. Kinetic energy
KE=½mv²
I=mr²
?F=ma
-dMu=Mdv

32. Angular velocity (spring SHM)
?=v(k/m)
?²=?0²+2a??
I=½mr²
F=-kx

33. Mechanical energy (SHM)
W=?F???x
PE=-GMm/r
PE=mgh
ME=½kA²

34. Cross product
I=½mr²
?J=??p
-dMu=Mdv
?a??b=ABsin?

35. Parellel axis theorem
I=mr²
J=?F
I=I0+mh²
?=v/r

36. Non-conservative forces
Work done is irrespective of path taken - Spring force - gravitational force
Work done is dependent on path taken - Frictional force - most applied forces
v²=v0²+2a?x
?=v(k/m)

37. Constant circular acceleration (no time)
F=-kx
?²=?0²+2a??
If ?F=0 then ?p=0
a=a/r

38. Angular velocity (pendulum SHM)
a=-?²Acos(?t+?)
I=½mr²
KE=½I?²
?=v(g/L)

39. Simple harmonic motion (velocity)
v=-?Acos(?t+?)
Only acting force is gravity - Apparent 'weightlessness'
W=?KE
-dMu=Mdv

40. Freefall

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41. Differential equation of motion (spring SHM)
t=?L/?t
?F=ma
?x=vt+½at²
md²x/dt²=-kx

42. Potential energy (gravity)
a=a/r
PE=mgh
g=9.8m/s² g=32ft/s²
ME=½kA²

43. Rotational inertia (disc)
F=-kx
I=½mr²
a=-?²Acos(?t+?)
L=I?

44. Simple harmonic motion (position)
Work done is irrespective of path taken - Spring force - gravitational force
I=?mr²
x=Acos(?t+?)
t=?F??r

45. Impulse
?=x/r
?J=??p
v²=v0²+2a?x
I=?mr²

46. Conservative forces
I=I0+mh²
Work done is irrespective of path taken - Spring force - gravitational force
x=Acos(?t+?)
??=at

47. Constant circular acceleration (velocity)
I=I0+mh²
?F=0 ?t=0
??=at
PE=½kx

48. Constant circular acceleration (position)
W=?F
?v=at
??=?t+½at²
?t=Ia

49. Gravitational potential energy
PE=-GMm/r
KE=½I?²
Work done is dependent on path taken - Frictional force - most applied forces
W=?t????

50. Potential energy (spring)
t=?F??r
W=?t????
PE=½kx
?²=?0²+2a??