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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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1. Differential equation of motion (spring SHM)
F=mv²/r
v=-?Acos(?t+?)
Momentum is conserved - Kinetic energy is conserved
md²x/dt²=-kx

2. Angular velocity (pendulum SHM)
I=mr²
t=?F??r
?²=?0²+2a??
?=v(g/L)

3. Constant acceleration (no time)
v²=v0²+2a?x
a=-?²Acos(?t+?)
?=v(k/m)
v=-?Acos(?t+?)

4. Impulse (integral)
s=?r
If ?F=0 then ?p=0
J=?F
PE=½kx

5. Torque (angular momentum)
t=?L/?t
Momentum is conserved - Kinetic energy is conserved
KE=½I?²
?a??b=ABcos?

6. Work
a=a/r
W=?F???x
I=½mr²
-dMu=Mdv

7. Constant circular acceleration (no time)
F=-GMm/r²
t=?F??r
ME=½kA²
?²=?0²+2a??

8. Simple harmonic motion (velocity)
KE=½I?²
I=½mr²
v=-?Acos(?t+?)
?a??b=ABsin?

9. Angular position
Work done is irrespective of path taken - Spring force - gravitational force
W=?t????
?=x/r
a=-?²Acos(?t+?)

10. Torque (force analog)
f=1/T
PE=-GMm/r
?t=Ia
?²=?0²+2a??

11. Angular velocity (spring SHM)
?=v(k/m)
?a??b=ABcos?
?=v(g/L)
v=-?Acos(?t+?)

12. Potential energy (spring)
PE=½kx
-dMu=Mdv
F=-GMm/r²
KE=½I?²

13. Frequency/Period
F=µFN
?²=?0²+2a??
f=1/T
Momentum is conserved - Kinetic energy is conserved

14. Frictional force
??=?t+½at²
F=µFN
?=v(k/m)
-dMu=Mdv

15. Dot product
PE=mgh
s=?r
?a??b=ABcos?
a=a/r

16. Conservation of momentum
If ?F=0 then ?p=0
W=?F???x
Work done is dependent on path taken - Frictional force - most applied forces
ME=½kA²

17. Kinetic energy
KE=½mv²
F=mv²/r
?=v(k/m)
I=½mr²

18. Simple harmonic motion (acceleration)
I=?mr²
a=a/r
F=µFN
a=-?²Acos(?t+?)

19. Angular velocity
?=v/r
Momentum is conserved - Kinetic energy is not conserved
v=-?Acos(?t+?)
f=1/T

20. Freefall

21. Inelastic collisions
Momentum is conserved - Kinetic energy is not conserved
v²=v0²+2a?x
Only acting force is gravity - Apparent 'weightlessness'
I=?mr²

22. Arc length
PE=mgh
s=?r
PE=½kx
md²x/dt²=-kx

23. Force (radial)
F=mv²/r
PE=-GMm/r
?=x/r
W=?KE

24. Constant acceleration (position)
F=-GMm/r²
?t=Ia
?a??b=ABcos?
?x=vt+½at²

25. Constant acceleration (velocity)
W=?F
I=½mr²
a=a/r
?v=at

26. Force (momentum)
F=µFN
?J=??p
a=-?²Acos(?t+?)
F=?p/?t

27. Conservative forces
I=mr²
-dMu=Mdv
W=?KE
Work done is irrespective of path taken - Spring force - gravitational force

28. Angular momentum
I=½mr²
?=v(k/m)
?a??b=ABsin?
L=I?

29. Rotational inertia (sphere)
I=?mr²
F=µFN
a=a/r
I=mr²

30. Spring force
v²=v0²+2a?x
F=-kx
W=?t????
Work done is irrespective of path taken - Spring force - gravitational force

31. Rotational Inertia
Work done is irrespective of path taken - Spring force - gravitational force
f=1/T
?x=vt+½at²
I=mr²

32. Elastic collisions
Momentum is conserved - Kinetic energy is conserved
If ?F=0 then ?p=0
?²=?0²+2a??
F=-kx

33. Mechanical energy (SHM)
?=x/r
x=Acos(?t+?)
v=-?Acos(?t+?)
ME=½kA²

34. Constant circular acceleration (position)
g=9.8m/s² g=32ft/s²
Momentum is conserved - Kinetic energy is not conserved
??=?t+½at²
a=a/r

35. Gravitational potential energy
PE=-GMm/r
v²=v0²+2a?x
If ?F=0 then ?p=0
Momentum is conserved - Kinetic energy is not conserved

36. Angular acceleration
a=a/r
W=?F
g=9.8m/s² g=32ft/s²
PE=mgh

37. Shells
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
?a??b=ABsin?
md²x/dt²=-kx
?=v/r

38. Equilibrium
F=mv²/r
f=1/T
I=mr²
?F=0 ?t=0

39. Work (kinetic energy)
KE=½mv²
W=?KE
-dMu=Mdv
md²x/dt²=-kx

40. Work (angular)
?²=?0²+2a??
W=?t????
F=-GMm/r²
a=a/r

41. Force
g=9.8m/s² g=32ft/s²
W=?KE
?F=ma
KE=½mv²

42. Torque
g=9.8m/s² g=32ft/s²
?t=Ia
t=?F??r
Only acting force is gravity - Apparent 'weightlessness'

43. Constant circular acceleration (velocity)
??=at
f=1/T
??=?t+½at²
F=-kx

44. Work (integral)
W=?F
I=½mr²
?x=vt+½at²
a=a/r

45. Simple harmonic motion (position)
W=?t????
Momentum is conserved - Kinetic energy is conserved
?²=?0²+2a??
x=Acos(?t+?)

46. Non-conservative forces
W=?F
Work done is dependent on path taken - Frictional force - most applied forces
?a??b=ABcos?
s=?r

47. Parellel axis theorem
If ?F=0 then ?p=0
I=I0+mh²
F=?p/?t
I=½mr²

48. Gravitational force
Momentum is conserved - Kinetic energy is conserved
F=-GMm/r²
W=?F???x
??=?t+½at²

49. Kinetic energy (rotational)
KE=½I?²
?J=??p
?²=?0²+2a??
Only acting force is gravity - Apparent 'weightlessness'

50. Cross product
s=?r
?a??b=ABsin?
KE=½I?²
?F=ma