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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. Non-conservative forces
KE=½I?²
Momentum is conserved - Kinetic energy is conserved
??=at
Work done is dependent on path taken - Frictional force - most applied forces

2. Simple harmonic motion (position)
Work done is dependent on path taken - Frictional force - most applied forces
F=mv²/r
x=Acos(?t+?)
Work done is irrespective of path taken - Spring force - gravitational force

3. Gravitational potential energy
Work done is dependent on path taken - Frictional force - most applied forces
md²x/dt²=-kx
?=x/r
PE=-GMm/r

4. Constant circular acceleration (position)
a=a/r
W=?F
F=-kx
??=?t+½at²

5. Simple harmonic motion (velocity)
v=-?Acos(?t+?)
?J=??p
??=?t+½at²
I=mr²

6. Work (integral)
Work done is irrespective of path taken - Spring force - gravitational force
?F=ma
PE=½kx
W=?F

7. Freefall

8. Constant circular acceleration (velocity)
v²=v0²+2a?x
?=v(k/m)
t=?L/?t
??=at

9. Gravitational force
F=-GMm/r²
Work done is dependent on path taken - Frictional force - most applied forces
KE=½mv²
-dMu=Mdv

10. Equilibrium
I=mr²
-dMu=Mdv
?t=Ia
?F=0 ?t=0

11. Rotational Inertia
I=mr²
t=?F??r
?v=at
I=?mr²

12. Inelastic collisions
ME=½kA²
?x=vt+½at²
Momentum is conserved - Kinetic energy is not conserved
v²=v0²+2a?x

13. Mechanical energy (SHM)
?v=at
t=?L/?t
ME=½kA²
x=Acos(?t+?)

14. Kinetic energy (rotational)
F=mv²/r
KE=½I?²
W=?KE
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell

15. Angular velocity (pendulum SHM)
s=?r
PE=mgh
f=1/T
?=v(g/L)

16. Cross product
I=I0+mh²
?a??b=ABsin?
?²=?0²+2a??
?F=0 ?t=0

17. Simple harmonic motion (acceleration)
f=1/T
L=I?
??=?t+½at²
a=-?²Acos(?t+?)

18. Torque (force analog)
v=-?Acos(?t+?)
?t=Ia
PE=½kx
Momentum is conserved - Kinetic energy is not conserved

19. Constant acceleration (position)
ME=½kA²
s=?r
?x=vt+½at²
?=v/r

20. Differential equation of motion (spring SHM)
md²x/dt²=-kx
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
I=½mr²
I=I0+mh²

21. Potential energy (spring)
Momentum is conserved - Kinetic energy is not conserved
?t=Ia
PE=½kx
t=?L/?t

22. Constant acceleration (velocity)
?v=at
?a??b=ABsin?
-dMu=Mdv
?t=Ia

23. Rotational inertia (disc)
?²=?0²+2a??
F=-kx
Work done is dependent on path taken - Frictional force - most applied forces
I=½mr²

24. Constant circular acceleration (no time)
Momentum is conserved - Kinetic energy is not conserved
?²=?0²+2a??
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
t=?F??r

25. Angular momentum
?=v(k/m)
L=I?
??=at
?x=vt+½at²

26. Angular velocity (spring SHM)
?=v(k/m)
t=?F??r
Work done is irrespective of path taken - Spring force - gravitational force
W=?KE

27. Conservation of momentum
F=mv²/r
If ?F=0 then ?p=0
PE=mgh
md²x/dt²=-kx

28. Angular velocity
?=v/r
Only acting force is gravity - Apparent 'weightlessness'
a=-?²Acos(?t+?)
?a??b=ABsin?

29. Torque (angular momentum)
PE=mgh
t=?L/?t
ME=½kA²
?x=vt+½at²

30. Force
W=?F???x
?F=ma
F=-GMm/r²
F=mv²/r

31. Work
W=?F???x
x=Acos(?t+?)
F=mv²/r
Only acting force is gravity - Apparent 'weightlessness'

32. Work (angular)
PE=mgh
?x=vt+½at²
a=-?²Acos(?t+?)
W=?t????

33. Rotational inertia (sphere)
F=-kx
Momentum is conserved - Kinetic energy is conserved
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
I=?mr²

34. Spring force
L=I?
F=-kx
??=?t+½at²
Work done is irrespective of path taken - Spring force - gravitational force

35. Rockets
-dMu=Mdv
g=9.8m/s² g=32ft/s²
I=I0+mh²
?F=ma

36. Elastic collisions
Momentum is conserved - Kinetic energy is conserved
md²x/dt²=-kx
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
?v=at

37. Force (radial)
F=mv²/r
L=I?
KE=½I?²
?a??b=ABcos?

38. Work (kinetic energy)
W=?KE
I=I0+mh²
W=?F???x
F=-kx

39. Potential energy (gravity)
Momentum is conserved - Kinetic energy is not conserved
PE=mgh
md²x/dt²=-kx
PE=½kx

40. Conservative forces
a=a/r
Work done is irrespective of path taken - Spring force - gravitational force
?x=vt+½at²
I=mr²

41. Arc length
?F=ma
?=v(g/L)
I=mr²
s=?r

42. Force (momentum)
?v=at
F=?p/?t
F=µFN
v=-?Acos(?t+?)

43. Torque
x=Acos(?t+?)
?a??b=ABcos?
t=?F??r
F=?p/?t

44. Angular acceleration
?F=0 ?t=0
W=?F???x
a=a/r
?=v(g/L)

45. Frictional force
F=-kx
?x=vt+½at²
F=µFN
Only acting force is gravity - Apparent 'weightlessness'

46. Parellel axis theorem
?J=??p
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
v=-?Acos(?t+?)
I=I0+mh²

47. Angular position
v²=v0²+2a?x
I=mr²
?=x/r
??=at

48. Gravity
g=9.8m/s² g=32ft/s²
?F=ma
f=1/T
t=?F??r

49. Frequency/Period
PE=mgh
f=1/T
I=?mr²
a=-?²Acos(?t+?)

50. Dot product
KE=½mv²
F=-GMm/r²
L=I?
?a??b=ABcos?