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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. Work
x=Acos(?t+?)
?a??b=ABcos?
W=?F???x
I=mr²

2. Potential energy (gravity)
PE=mgh
L=I?
md²x/dt²=-kx
??=?t+½at²

3. Constant circular acceleration (position)
v=-?Acos(?t+?)
??=?t+½at²
If ?F=0 then ?p=0
?²=?0²+2a??

4. Inelastic collisions
Momentum is conserved - Kinetic energy is not conserved
?a??b=ABsin?
W=?F???x
F=µFN

5. Conservation of momentum
W=?t????
If ?F=0 then ?p=0
?F=ma
?²=?0²+2a??

6. Arc length
?=v(g/L)
s=?r
PE=-GMm/r
W=?F

7. Torque (angular momentum)
?v=at
v²=v0²+2a?x
?a??b=ABsin?
t=?L/?t

8. Non-conservative forces
Work done is dependent on path taken - Frictional force - most applied forces
?t=Ia
f=1/T
g=9.8m/s² g=32ft/s²

9. Rotational Inertia
Only acting force is gravity - Apparent 'weightlessness'
L=I?
I=mr²
?=v/r

10. Rotational inertia (sphere)
I=?mr²
Momentum is conserved - Kinetic energy is conserved
If ?F=0 then ?p=0
F=-kx

11. Constant acceleration (position)
W=?F???x
a=a/r
F=-GMm/r²
?x=vt+½at²

12. Work (kinetic energy)
md²x/dt²=-kx
W=?KE
Work done is dependent on path taken - Frictional force - most applied forces
PE=½kx

13. Kinetic energy
W=?F???x
I=?mr²
KE=½mv²
J=?F

14. Impulse (integral)
Momentum is conserved - Kinetic energy is conserved
J=?F
PE=mgh
g=9.8m/s² g=32ft/s²

15. Gravitational force
Work done is irrespective of path taken - Spring force - gravitational force
F=-GMm/r²
W=?t????
KE=½mv²

16. Mechanical energy (SHM)
?a??b=ABcos?
ME=½kA²
Momentum is conserved - Kinetic energy is conserved
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell

17. Conservative forces
?=x/r
Work done is irrespective of path taken - Spring force - gravitational force
?v=at
s=?r

18. Torque
v²=v0²+2a?x
t=?L/?t
t=?F??r
??=?t+½at²

19. Force (radial)
?a??b=ABsin?
F=mv²/r
ME=½kA²
v²=v0²+2a?x

20. Parellel axis theorem
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
?F=0 ?t=0
I=I0+mh²
s=?r

21. Impulse
Work done is dependent on path taken - Frictional force - most applied forces
?J=??p
?v=at
I=½mr²

22. Angular velocity (spring SHM)
?=v(k/m)
?F=0 ?t=0
-dMu=Mdv
?=v(g/L)

23. Simple harmonic motion (acceleration)
g=9.8m/s² g=32ft/s²
PE=½kx
a=-?²Acos(?t+?)
-dMu=Mdv

24. Gravitational potential energy
ME=½kA²
?=x/r
PE=-GMm/r
If ?F=0 then ?p=0

25. Constant circular acceleration (no time)
?²=?0²+2a??
s=?r
J=?F
x=Acos(?t+?)

26. Dot product
PE=½kx
?a??b=ABcos?
?²=?0²+2a??
??=?t+½at²

27. Force (momentum)
If ?F=0 then ?p=0
F=?p/?t
?=v(k/m)
W=?t????

28. Angular position
?=x/r
?x=vt+½at²
J=?F
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell

29. Equilibrium
?F=0 ?t=0
f=1/T
??=at
ME=½kA²

30. Shells
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
I=mr²
?a??b=ABcos?
Momentum is conserved - Kinetic energy is conserved

31. Kinetic energy (rotational)
I=I0+mh²
F=?p/?t
?=v/r
KE=½I?²

32. Rockets
-dMu=Mdv
x=Acos(?t+?)
W=?F???x
g=9.8m/s² g=32ft/s²

33. Angular acceleration
W=?KE
?v=at
a=a/r
If ?F=0 then ?p=0

34. Constant acceleration (no time)
v²=v0²+2a?x
I=?mr²
?=x/r
?t=Ia

35. Simple harmonic motion (velocity)
v=-?Acos(?t+?)
F=-kx
I=mr²
I=?mr²

36. Constant circular acceleration (velocity)
F=µFN
??=at
I=I0+mh²
?a??b=ABsin?

37. Potential energy (spring)
?F=ma
PE=½kx
v²=v0²+2a?x
?²=?0²+2a??

38. Torque (force analog)
Work done is irrespective of path taken - Spring force - gravitational force
??=?t+½at²
I=½mr²
?t=Ia

39. Angular velocity (pendulum SHM)
t=?L/?t
KE=½mv²
?=v(g/L)
W=?KE

40. Differential equation of motion (spring SHM)
J=?F
?x=vt+½at²
md²x/dt²=-kx
F=mv²/r

41. Angular momentum
v=-?Acos(?t+?)
L=I?
I=I0+mh²
??=at

42. Simple harmonic motion (position)
F=?p/?t
x=Acos(?t+?)
v²=v0²+2a?x
?a??b=ABsin?

43. Spring force
PE=-GMm/r
W=?t????
KE=½I?²
F=-kx

44. Freefall

45. Constant acceleration (velocity)
?v=at
Only acting force is gravity - Apparent 'weightlessness'
-dMu=Mdv
?t=Ia

46. Work (integral)
F=-kx
?a??b=ABsin?
W=?F
J=?F

47. Gravity
W=?KE
g=9.8m/s² g=32ft/s²
?²=?0²+2a??
t=?F??r

48. Frictional force
W=?F
F=µFN
v=-?Acos(?t+?)
-dMu=Mdv

49. Frequency/Period
?v=at
?=x/r
I=?mr²
f=1/T

50. Elastic collisions
t=?L/?t
?a??b=ABsin?
Momentum is conserved - Kinetic energy is conserved
t=?F??r