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AP Physics C: Mechanics

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Answer 50 questions in 15 minutes.
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1. Simple harmonic motion (position)
PE=-GMm/r
x=Acos(?t+?)
??=?t+½at²
?J=??p

2. Spring force
F=-kx
?v=at
KE=½I?²
t=?L/?t

3. Rotational inertia (disc)
I=½mr²
?²=?0²+2a??
a=a/r
W=?F???x

4. Cross product
?a??b=ABsin?
F=-GMm/r²
W=?KE
?²=?0²+2a??

5. Equilibrium
W=?t????
?F=0 ?t=0
??=?t+½at²
PE=-GMm/r

6. Kinetic energy
?=v/r
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
F=-GMm/r²
KE=½mv²

7. Constant circular acceleration (velocity)
W=?KE
F=-GMm/r²
??=at
Momentum is conserved - Kinetic energy is not conserved

8. Mechanical energy (SHM)
L=I?
ME=½kA²
md²x/dt²=-kx
F=-GMm/r²

9. Angular velocity (spring SHM)
a=-?²Acos(?t+?)
W=?t????
Work done is irrespective of path taken - Spring force - gravitational force
?=v(k/m)

10. Work (kinetic energy)
W=?F???x
a=-?²Acos(?t+?)
W=?KE
v²=v0²+2a?x

11. Non-conservative forces
?x=vt+½at²
W=?t????
L=I?
Work done is dependent on path taken - Frictional force - most applied forces

12. Angular velocity
F=µFN
If ?F=0 then ?p=0
??=?t+½at²
?=v/r

13. Work (angular)
v²=v0²+2a?x
PE=½kx
Work done is irrespective of path taken - Spring force - gravitational force
W=?t????

14. Gravity
g=9.8m/s² g=32ft/s²
I=?mr²
?x=vt+½at²
-dMu=Mdv

15. Rotational Inertia
?=v(g/L)
g=9.8m/s² g=32ft/s²
I=mr²
v=-?Acos(?t+?)

16. Frequency/Period
-dMu=Mdv
t=?L/?t
f=1/T
?=v(g/L)

17. Constant acceleration (velocity)
If ?F=0 then ?p=0
J=?F
Momentum is conserved - Kinetic energy is conserved
?v=at

18. Impulse
x=Acos(?t+?)
a=-?²Acos(?t+?)
I=I0+mh²
?J=??p

19. Angular momentum
x=Acos(?t+?)
t=?F??r
KE=½mv²
L=I?

20. Work (integral)
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
W=?F
I=mr²
?=v/r

21. Torque
t=?F??r
I=?mr²
x=Acos(?t+?)
??=at

22. Elastic collisions
a=a/r
PE=mgh
?=v(k/m)
Momentum is conserved - Kinetic energy is conserved

23. Constant circular acceleration (no time)
I=mr²
-dMu=Mdv
?²=?0²+2a??
J=?F

24. Torque (angular momentum)
v²=v0²+2a?x
Momentum is conserved - Kinetic energy is conserved
t=?L/?t
L=I?

25. Freefall

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26. Potential energy (gravity)
?=v(g/L)
x=Acos(?t+?)
?x=vt+½at²
PE=mgh

27. Angular acceleration
Only acting force is gravity - Apparent 'weightlessness'
W=?t????
a=a/r
Work done is dependent on path taken - Frictional force - most applied forces

28. Conservation of momentum
??=at
If ?F=0 then ?p=0
?²=?0²+2a??
F=-kx

29. Work
If ?F=0 then ?p=0
Momentum is conserved - Kinetic energy is not conserved
W=?F???x
PE=½kx

30. Constant acceleration (position)
?=x/r
I=?mr²
?x=vt+½at²
F=mv²/r

31. Inelastic collisions
Momentum is conserved - Kinetic energy is not conserved
?x=vt+½at²
?F=0 ?t=0
?F=ma

32. Differential equation of motion (spring SHM)
??=at
If ?F=0 then ?p=0
md²x/dt²=-kx
?=x/r

33. Simple harmonic motion (velocity)
?²=?0²+2a??
J=?F
?=v(k/m)
v=-?Acos(?t+?)

34. Rockets
F=-GMm/r²
s=?r
W=?t????
-dMu=Mdv

35. Simple harmonic motion (acceleration)
I=½mr²
KE=½mv²
a=a/r
a=-?²Acos(?t+?)

36. Arc length
s=?r
?=v(g/L)
KE=½mv²
?a??b=ABsin?

37. Potential energy (spring)
?=v/r
W=?F???x
PE=½kx
Work done is irrespective of path taken - Spring force - gravitational force

38. Frictional force
v=-?Acos(?t+?)
I=?mr²
F=µFN
KE=½I?²

39. Shells
v²=v0²+2a?x
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
Momentum is conserved - Kinetic energy is conserved
?²=?0²+2a??

40. Rotational inertia (sphere)
a=a/r
KE=½I?²
PE=½kx
I=?mr²

41. Dot product
W=?KE
??=at
?a??b=ABcos?
PE=-GMm/r

42. Torque (force analog)
Only acting force is gravity - Apparent 'weightlessness'
KE=½I?²
?t=Ia
I=mr²

43. Constant circular acceleration (position)
v²=v0²+2a?x
f=1/T
Work done is dependent on path taken - Frictional force - most applied forces
??=?t+½at²

44. Force (momentum)
F=?p/?t
md²x/dt²=-kx
Momentum is conserved - Kinetic energy is not conserved
?=x/r

45. Kinetic energy (rotational)
KE=½I?²
F=mv²/r
?=v(g/L)
?x=vt+½at²

46. Conservative forces
?J=??p
PE=½kx
Work done is irrespective of path taken - Spring force - gravitational force
?a??b=ABcos?

47. Force (radial)
?a??b=ABsin?
?=x/r
F=mv²/r
ME=½kA²

48. Parellel axis theorem
I=I0+mh²
Work done is irrespective of path taken - Spring force - gravitational force
J=?F
I=mr²

49. Gravitational force
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
I=½mr²
W=?F
F=-GMm/r²

50. Gravitational potential energy
PE=-GMm/r
PE=mgh
v=-?Acos(?t+?)
PE=½kx

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AP Physics C: Mechanics

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