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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. Torque
?²=?0²+2a??
W=?KE
F=-kx
t=?F??r

2. Angular acceleration
KE=½I?²
?=x/r
a=a/r
F=µFN

3. Frictional force
??=?t+½at²
s=?r
F=µFN
?=v/r

4. Rockets
?x=vt+½at²
-dMu=Mdv
W=?t????
J=?F

5. Simple harmonic motion (velocity)
v=-?Acos(?t+?)
t=?L/?t
Work done is irrespective of path taken - Spring force - gravitational force
t=?F??r

6. Rotational inertia (disc)
I=½mr²
-dMu=Mdv
?t=Ia
ME=½kA²

7. Angular velocity (pendulum SHM)
KE=½mv²
?J=??p
Only acting force is gravity - Apparent 'weightlessness'
?=v(g/L)

8. Inelastic collisions
Work done is dependent on path taken - Frictional force - most applied forces
Momentum is conserved - Kinetic energy is not conserved
W=?F
t=?L/?t

9. Constant acceleration (no time)
-dMu=Mdv
PE=½kx
F=µFN
v²=v0²+2a?x

10. Impulse
?=v(g/L)
f=1/T
?J=??p
v=-?Acos(?t+?)

11. Gravitational force
If ?F=0 then ?p=0
x=Acos(?t+?)
??=?t+½at²
F=-GMm/r²

12. Simple harmonic motion (acceleration)
KE=½mv²
F=-GMm/r²
?a??b=ABcos?
a=-?²Acos(?t+?)

13. Non-conservative forces
F=mv²/r
F=µFN
W=?t????
Work done is dependent on path taken - Frictional force - most applied forces

14. Mechanical energy (SHM)
ME=½kA²
f=1/T
Only acting force is gravity - Apparent 'weightlessness'
F=mv²/r

15. Torque (force analog)
a=a/r
PE=mgh
v=-?Acos(?t+?)
?t=Ia

16. Torque (angular momentum)
?=v(g/L)
F=mv²/r
md²x/dt²=-kx
t=?L/?t

17. Spring force
ME=½kA²
g=9.8m/s² g=32ft/s²
Work done is irrespective of path taken - Spring force - gravitational force
F=-kx

18. Constant acceleration (velocity)
f=1/T
t=?F??r
?v=at
?t=Ia

19. Kinetic energy (rotational)
s=?r
v²=v0²+2a?x
F=mv²/r
KE=½I?²

20. Force
F=-kx
v=-?Acos(?t+?)
t=?F??r
?F=ma

21. Impulse (integral)
J=?F
If ?F=0 then ?p=0
a=-?²Acos(?t+?)
?J=??p

22. Constant circular acceleration (position)
I=?mr²
??=?t+½at²
md²x/dt²=-kx
F=µFN

23. Equilibrium
??=?t+½at²
?F=0 ?t=0
md²x/dt²=-kx
?=v(g/L)

24. Angular velocity
a=a/r
?=v/r
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
v²=v0²+2a?x

25. Constant circular acceleration (no time)
?²=?0²+2a??
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
KE=½mv²
Work done is dependent on path taken - Frictional force - most applied forces

26. Work
W=?F???x
x=Acos(?t+?)
g=9.8m/s² g=32ft/s²
?=x/r

27. Differential equation of motion (spring SHM)
md²x/dt²=-kx
W=?F???x
?=v(k/m)
L=I?

28. Rotational Inertia
I=mr²
??=at
Momentum is conserved - Kinetic energy is conserved
?²=?0²+2a??

29. Work (kinetic energy)
W=?KE
KE=½I?²
W=?t????
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell

30. Cross product
KE=½mv²
?a??b=ABsin?
?a??b=ABcos?
?t=Ia

31. Parellel axis theorem
ME=½kA²
f=1/T
I=I0+mh²
?=v(g/L)

32. Angular position
J=?F
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
?v=at
?=x/r

33. Dot product
?a??b=ABcos?
?t=Ia
?=v(k/m)
?=v/r

34. Work (integral)
F=µFN
W=?t????
W=?F
F=-GMm/r²

35. Freefall

36. Work (angular)
PE=½kx
KE=½I?²
W=?t????
W=?KE

37. Angular momentum
L=I?
g=9.8m/s² g=32ft/s²
f=1/T
F=-GMm/r²

38. Angular velocity (spring SHM)
If ?F=0 then ?p=0
?=v(k/m)
F=mv²/r
I=mr²

39. Potential energy (gravity)
I=I0+mh²
PE=-GMm/r
PE=mgh
Only acting force is gravity - Apparent 'weightlessness'

40. Simple harmonic motion (position)
a=a/r
x=Acos(?t+?)
v=-?Acos(?t+?)
F=mv²/r

41. Conservative forces
W=?F???x
I=mr²
KE=½mv²
Work done is irrespective of path taken - Spring force - gravitational force

42. Rotational inertia (sphere)
?a??b=ABcos?
md²x/dt²=-kx
I=?mr²
-dMu=Mdv

43. Force (radial)
W=?F
ME=½kA²
F=mv²/r
Work done is dependent on path taken - Frictional force - most applied forces

44. Kinetic energy
??=?t+½at²
-dMu=Mdv
I=½mr²
KE=½mv²

45. Force (momentum)
W=?KE
I=I0+mh²
F=?p/?t
Momentum is conserved - Kinetic energy is not conserved

46. Gravitational potential energy
PE=-GMm/r
?=v/r
KE=½mv²
F=mv²/r

47. Conservation of momentum
F=?p/?t
?t=Ia
?J=??p
If ?F=0 then ?p=0

48. Potential energy (spring)
PE=½kx
v²=v0²+2a?x
?v=at
?x=vt+½at²

49. Arc length
t=?L/?t
F=µFN
s=?r
v=-?Acos(?t+?)

50. Shells
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
?=v/r
?t=Ia
L=I?