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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. Constant acceleration (no time)
s=?r
PE=mgh
v²=v0²+2a?x
I=½mr²

2. Parellel axis theorem
I=?mr²
I=mr²
I=I0+mh²
W=?F

3. Force (momentum)
F=?p/?t
L=I?
a=-?²Acos(?t+?)
F=-kx

4. Constant circular acceleration (no time)
?²=?0²+2a??
a=a/r
If ?F=0 then ?p=0
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell

5. Torque
??=at
t=?F??r
md²x/dt²=-kx
s=?r

6. Elastic collisions
Momentum is conserved - Kinetic energy is conserved
?=v(k/m)
s=?r
?t=Ia

7. Frequency/Period
f=1/T
a=a/r
x=Acos(?t+?)
PE=-GMm/r

8. Work (angular)
W=?t????
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
a=-?²Acos(?t+?)
t=?L/?t

9. Cross product
?a??b=ABsin?
?J=??p
F=mv²/r
x=Acos(?t+?)

10. Inelastic collisions
Momentum is conserved - Kinetic energy is not conserved
Only acting force is gravity - Apparent 'weightlessness'
F=-kx
?=v(k/m)

11. Constant acceleration (position)
?=v(g/L)
Momentum is conserved - Kinetic energy is conserved
?x=vt+½at²
?a??b=ABcos?

12. Dot product
??=at
v=-?Acos(?t+?)
If ?F=0 then ?p=0
?a??b=ABcos?

13. Potential energy (gravity)
I=I0+mh²
Momentum is conserved - Kinetic energy is conserved
a=-?²Acos(?t+?)
PE=mgh

14. Rotational inertia (sphere)
F=?p/?t
?x=vt+½at²
If ?F=0 then ?p=0
I=?mr²

15. Conservative forces
ME=½kA²
Work done is irrespective of path taken - Spring force - gravitational force
F=?p/?t
F=-GMm/r²

16. Potential energy (spring)
PE=½kx
??=at
?a??b=ABsin?
Work done is dependent on path taken - Frictional force - most applied forces

17. Conservation of momentum
?J=??p
t=?F??r
F=µFN
If ?F=0 then ?p=0

18. Simple harmonic motion (position)
x=Acos(?t+?)
Only acting force is gravity - Apparent 'weightlessness'
f=1/T
?a??b=ABsin?

19. Shells
t=?F??r
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
?t=Ia
?=v(g/L)

20. Arc length
s=?r
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
?²=?0²+2a??
F=-kx

21. Angular velocity
?v=at
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
?=v/r
Momentum is conserved - Kinetic energy is not conserved

22. Mechanical energy (SHM)
ME=½kA²
t=?L/?t
I=I0+mh²
t=?F??r

23. Constant circular acceleration (position)
Work done is dependent on path taken - Frictional force - most applied forces
PE=mgh
??=?t+½at²
?²=?0²+2a??

24. Rotational Inertia
?a??b=ABcos?
J=?F
a=a/r
I=mr²

25. Rotational inertia (disc)
F=µFN
g=9.8m/s² g=32ft/s²
I=½mr²
KE=½I?²

26. Rockets
-dMu=Mdv
?a??b=ABsin?
?a??b=ABcos?
x=Acos(?t+?)

27. Torque (angular momentum)
F=-GMm/r²
t=?L/?t
v²=v0²+2a?x
W=?F???x

28. Impulse (integral)
W=?F
?J=??p
J=?F
??=?t+½at²

29. Freefall

30. Simple harmonic motion (acceleration)
PE=mgh
F=-GMm/r²
a=-?²Acos(?t+?)
I=?mr²

31. Gravitational force
?=x/r
F=-GMm/r²
I=½mr²
If ?F=0 then ?p=0

32. Gravitational potential energy
KE=½mv²
f=1/T
PE=-GMm/r
a=a/r

33. Angular momentum
v=-?Acos(?t+?)
?J=??p
L=I?
?=v/r

34. Kinetic energy
W=?t????
?F=0 ?t=0
L=I?
KE=½mv²

35. Constant circular acceleration (velocity)
??=at
L=I?
?=v/r
W=?KE

36. Constant acceleration (velocity)
?v=at
a=-?²Acos(?t+?)
F=mv²/r
Momentum is conserved - Kinetic energy is not conserved

37. Angular velocity (spring SHM)
I=mr²
t=?F??r
?=v(k/m)
?v=at

38. Simple harmonic motion (velocity)
a=-?²Acos(?t+?)
v=-?Acos(?t+?)
?=v/r
PE=-GMm/r

39. Differential equation of motion (spring SHM)
W=?t????
md²x/dt²=-kx
Momentum is conserved - Kinetic energy is conserved
?=v(g/L)

40. Force
?F=ma
If ?F=0 then ?p=0
md²x/dt²=-kx
v²=v0²+2a?x

41. Work (kinetic energy)
?a??b=ABsin?
Momentum is conserved - Kinetic energy is not conserved
W=?KE
?F=0 ?t=0

42. Non-conservative forces
?t=Ia
ME=½kA²
Work done is dependent on path taken - Frictional force - most applied forces
F=-GMm/r²

43. Equilibrium
?F=0 ?t=0
Only acting force is gravity - Apparent 'weightlessness'
s=?r
F=mv²/r

44. Impulse
?J=??p
F=µFN
g=9.8m/s² g=32ft/s²
J=?F

45. Angular acceleration
v=-?Acos(?t+?)
Momentum is conserved - Kinetic energy is not conserved
a=a/r
F=?p/?t

46. Frictional force
F=µFN
?=v(g/L)
J=?F
W=?KE

47. Spring force
F=-kx
If ?F=0 then ?p=0
?a??b=ABsin?
-dMu=Mdv

48. Angular position
?=v(k/m)
?=x/r
f=1/T
I=½mr²

49. Work (integral)
-dMu=Mdv
Work done is dependent on path taken - Frictional force - most applied forces
?x=vt+½at²
W=?F

50. Work
a=a/r
?x=vt+½at²
Work done is irrespective of path taken - Spring force - gravitational force
W=?F???x