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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. Parellel axis theorem
I=I0+mh²
PE=mgh
-dMu=Mdv
?=v/r

2. Torque (angular momentum)
Momentum is conserved - Kinetic energy is not conserved
t=?L/?t
f=1/T
F=?p/?t

3. Gravitational potential energy
md²x/dt²=-kx
x=Acos(?t+?)
PE=-GMm/r
ME=½kA²

4. Elastic collisions
PE=½kx
Momentum is conserved - Kinetic energy is conserved
I=?mr²
g=9.8m/s² g=32ft/s²

5. Simple harmonic motion (acceleration)
??=?t+½at²
a=-?²Acos(?t+?)
F=?p/?t
ME=½kA²

6. Dot product
?a??b=ABcos?
J=?F
I=I0+mh²
v²=v0²+2a?x

7. Gravitational force
W=?F???x
?v=at
?²=?0²+2a??
F=-GMm/r²

8. Mechanical energy (SHM)
Momentum is conserved - Kinetic energy is conserved
?F=0 ?t=0
F=mv²/r
ME=½kA²

9. Rotational Inertia
?F=ma
I=mr²
t=?L/?t
?=v(g/L)

10. Angular momentum
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
L=I?
I=mr²
If ?F=0 then ?p=0

11. Differential equation of motion (spring SHM)
PE=mgh
md²x/dt²=-kx
-dMu=Mdv
F=?p/?t

12. Work
W=?F???x
PE=mgh
W=?t????
F=?p/?t

13. Angular velocity (pendulum SHM)
?=v(g/L)
F=mv²/r
?a??b=ABcos?
??=at

14. Work (integral)
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
Work done is dependent on path taken - Frictional force - most applied forces
If ?F=0 then ?p=0
W=?F

15. Freefall

16. Angular acceleration
?=v/r
a=-?²Acos(?t+?)
a=a/r
F=-GMm/r²

17. Potential energy (gravity)
PE=mgh
J=?F
Work done is irrespective of path taken - Spring force - gravitational force
F=-kx

18. Angular velocity (spring SHM)
?x=vt+½at²
?=v(k/m)
??=at
F=?p/?t

19. Rockets
g=9.8m/s² g=32ft/s²
?x=vt+½at²
?F=0 ?t=0
-dMu=Mdv

20. Frequency/Period
f=1/T
t=?F??r
F=µFN
W=?F???x

21. Constant circular acceleration (no time)
Work done is dependent on path taken - Frictional force - most applied forces
?v=at
?²=?0²+2a??
a=-?²Acos(?t+?)

22. Simple harmonic motion (velocity)
Work done is irrespective of path taken - Spring force - gravitational force
v=-?Acos(?t+?)
F=-GMm/r²
W=?F

23. Constant acceleration (no time)
t=?F??r
??=?t+½at²
v²=v0²+2a?x
s=?r

24. Torque (force analog)
?t=Ia
-dMu=Mdv
PE=½kx
?a??b=ABsin?

25. Constant acceleration (position)
Momentum is conserved - Kinetic energy is not conserved
W=?F???x
x=Acos(?t+?)
?x=vt+½at²

26. Work (angular)
F=?p/?t
F=mv²/r
L=I?
W=?t????

27. Constant circular acceleration (position)
I=mr²
??=?t+½at²
W=?KE
Work done is dependent on path taken - Frictional force - most applied forces

28. Cross product
?F=ma
?x=vt+½at²
?a??b=ABcos?
?a??b=ABsin?

29. Angular velocity
F=?p/?t
I=?mr²
?=x/r
?=v/r

30. Shells
W=?t????
F=?p/?t
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
t=?F??r

31. Work (kinetic energy)
F=-kx
F=µFN
W=?KE
ME=½kA²

32. Rotational inertia (sphere)
I=?mr²
a=a/r
?=x/r
Only acting force is gravity - Apparent 'weightlessness'

33. Constant circular acceleration (velocity)
??=at
t=?L/?t
a=a/r
??=?t+½at²

34. Force (radial)
f=1/T
md²x/dt²=-kx
F=mv²/r
W=?F

35. Simple harmonic motion (position)
-dMu=Mdv
I=?mr²
PE=½kx
x=Acos(?t+?)

36. Spring force
Momentum is conserved - Kinetic energy is not conserved
t=?L/?t
W=?F
F=-kx

37. Kinetic energy (rotational)
KE=½I?²
Work done is irrespective of path taken - Spring force - gravitational force
F=-GMm/r²
I=½mr²

38. Kinetic energy
ME=½kA²
KE=½mv²
v²=v0²+2a?x
I=I0+mh²

39. Arc length
s=?r
KE=½I?²
Momentum is conserved - Kinetic energy is not conserved
L=I?

40. Angular position
??=at
W=?t????
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
?=x/r

41. Impulse
?a??b=ABsin?
?J=??p
If ?F=0 then ?p=0
PE=½kx

42. Equilibrium
?F=0 ?t=0
I=mr²
F=?p/?t
L=I?

43. Constant acceleration (velocity)
?v=at
I=?mr²
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

44. Impulse (integral)
J=?F
x=Acos(?t+?)
?=v/r
?=v(k/m)

45. Conservation of momentum
L=I?
F=-GMm/r²
If ?F=0 then ?p=0
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell

46. Force (momentum)
PE=mgh
W=?t????
F=?p/?t
??=at

47. Force
F=-GMm/r²
v=-?Acos(?t+?)
?F=ma
KE=½I?²

48. Non-conservative forces
v²=v0²+2a?x
Work done is dependent on path taken - Frictional force - most applied forces
KE=½I?²
F=µFN

49. Inelastic collisions
v=-?Acos(?t+?)
Momentum is conserved - Kinetic energy is not conserved
md²x/dt²=-kx
x=Acos(?t+?)

50. Rotational inertia (disc)
W=?F
?²=?0²+2a??
I=½mr²
v=-?Acos(?t+?)