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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. Conservative forces
?²=?0²+2a??
PE=-GMm/r
Work done is irrespective of path taken - Spring force - gravitational force
md²x/dt²=-kx

2. Constant acceleration (no time)
F=?p/?t
t=?L/?t
v²=v0²+2a?x
W=?KE

3. Force (radial)
F=mv²/r
g=9.8m/s² g=32ft/s²
W=?F???x
KE=½I?²

4. Gravitational potential energy
?F=0 ?t=0
?=v/r
??=?t+½at²
PE=-GMm/r

5. Equilibrium
I=mr²
ME=½kA²
?F=0 ?t=0
F=µFN

6. Gravitational force
?v=at
?a??b=ABcos?
F=-GMm/r²
F=mv²/r

7. Rotational inertia (sphere)
??=?t+½at²
I=½mr²
F=mv²/r
I=?mr²

8. Simple harmonic motion (velocity)
?=v(g/L)
?=v(k/m)
v=-?Acos(?t+?)
Momentum is conserved - Kinetic energy is not conserved

9. Simple harmonic motion (position)
?=v/r
x=Acos(?t+?)
?x=vt+½at²
If ?F=0 then ?p=0

10. Potential energy (spring)
?a??b=ABsin?
PE=½kx
a=-?²Acos(?t+?)
?=v(k/m)

11. Angular acceleration
a=a/r
?=v(g/L)
?=v/r
PE=-GMm/r

12. Work (integral)
t=?F??r
W=?F
?=v(g/L)
?v=at

13. Work
PE=mgh
F=mv²/r
W=?F???x
KE=½mv²

14. Parellel axis theorem
?=v(k/m)
?²=?0²+2a??
v=-?Acos(?t+?)
I=I0+mh²

15. Simple harmonic motion (acceleration)
Work done is dependent on path taken - Frictional force - most applied forces
a=-?²Acos(?t+?)
?a??b=ABcos?
KE=½mv²

16. Torque (angular momentum)
PE=-GMm/r
?t=Ia
I=I0+mh²
t=?L/?t

17. Constant acceleration (position)
v=-?Acos(?t+?)
a=-?²Acos(?t+?)
I=½mr²
?x=vt+½at²

18. Kinetic energy (rotational)
KE=½I?²
Momentum is conserved - Kinetic energy is not conserved
J=?F
??=at

19. Work (kinetic energy)
Work done is irrespective of path taken - Spring force - gravitational force
W=?KE
?=x/r
?²=?0²+2a??

20. Impulse
L=I?
Momentum is conserved - Kinetic energy is conserved
F=?p/?t
?J=??p

21. Freefall

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22. Arc length
s=?r
-dMu=Mdv
W=?KE
?a??b=ABcos?

23. Constant circular acceleration (no time)
?²=?0²+2a??
I=I0+mh²
ME=½kA²
v=-?Acos(?t+?)

24. Angular momentum
?J=??p
?²=?0²+2a??
PE=-GMm/r
L=I?

25. Inelastic collisions
f=1/T
F=?p/?t
Momentum is conserved - Kinetic energy is not conserved
v²=v0²+2a?x

26. Rotational inertia (disc)
PE=mgh
g=9.8m/s² g=32ft/s²
I=½mr²
v=-?Acos(?t+?)

27. Impulse (integral)
?=x/r
?a??b=ABcos?
J=?F
f=1/T

28. Differential equation of motion (spring SHM)
md²x/dt²=-kx
ME=½kA²
?v=at
Work done is irrespective of path taken - Spring force - gravitational force

29. Shells
Work done is dependent on path taken - Frictional force - most applied forces
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
a=a/r
x=Acos(?t+?)

30. Constant circular acceleration (position)
-dMu=Mdv
??=?t+½at²
F=-kx
I=½mr²

31. Dot product
?a??b=ABcos?
Work done is dependent on path taken - Frictional force - most applied forces
F=mv²/r
Only acting force is gravity - Apparent 'weightlessness'

32. Gravity
KE=½I?²
If ?F=0 then ?p=0
g=9.8m/s² g=32ft/s²
??=?t+½at²

33. Conservation of momentum
Work done is irrespective of path taken - Spring force - gravitational force
If ?F=0 then ?p=0
F=-kx
a=a/r

34. Angular velocity
I=I0+mh²
W=?KE
?=v/r
?a??b=ABcos?

35. Angular velocity (pendulum SHM)
L=I?
v=-?Acos(?t+?)
PE=-GMm/r
?=v(g/L)

36. Torque (force analog)
PE=-GMm/r
Only acting force is gravity - Apparent 'weightlessness'
?t=Ia
g=9.8m/s² g=32ft/s²

37. Kinetic energy
I=mr²
W=?t????
KE=½mv²
Momentum is conserved - Kinetic energy is conserved

38. Frequency/Period
?=v(g/L)
F=-kx
If ?F=0 then ?p=0
f=1/T

39. Rotational Inertia
I=mr²
?J=??p
?²=?0²+2a??
PE=½kx

40. Non-conservative forces
v²=v0²+2a?x
F=-GMm/r²
f=1/T
Work done is dependent on path taken - Frictional force - most applied forces

41. Rockets
-dMu=Mdv
KE=½I?²
a=-?²Acos(?t+?)
?=x/r

42. Constant acceleration (velocity)
?=x/r
?F=0 ?t=0
f=1/T
?v=at

43. Force
F=mv²/r
?=v/r
?=v(k/m)
?F=ma

44. Constant circular acceleration (velocity)
?x=vt+½at²
W=?F???x
??=at
Momentum is conserved - Kinetic energy is conserved

45. Angular position
If ?F=0 then ?p=0
I=?mr²
?=x/r
?x=vt+½at²

46. Frictional force
?²=?0²+2a??
W=?F
L=I?
F=µFN

47. Mechanical energy (SHM)
Only acting force is gravity - Apparent 'weightlessness'
?v=at
t=?L/?t
ME=½kA²

48. Work (angular)
Momentum is conserved - Kinetic energy is not conserved
W=?t????
x=Acos(?t+?)
W=?F

49. Potential energy (gravity)
PE=-GMm/r
PE=mgh
?=v(g/L)
J=?F

50. Force (momentum)
g=9.8m/s² g=32ft/s²
md²x/dt²=-kx
a=-?²Acos(?t+?)
F=?p/?t