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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. Force
??=at
I=½mr²
?a??b=ABcos?
?F=ma

2. Frequency/Period
Momentum is conserved - Kinetic energy is not conserved
f=1/T
PE=-GMm/r
?F=0 ?t=0

3. Frictional force
?=x/r
Only acting force is gravity - Apparent 'weightlessness'
PE=-GMm/r
F=µFN

4. Simple harmonic motion (acceleration)
a=-?²Acos(?t+?)
PE=½kx
?a??b=ABcos?
F=µFN

5. Work (integral)
t=?F??r
Only acting force is gravity - Apparent 'weightlessness'
If ?F=0 then ?p=0
W=?F

6. Spring force
F=-kx
?J=??p
?t=Ia
a=-?²Acos(?t+?)

7. Arc length
F=µFN
F=-GMm/r²
F=-kx
s=?r

8. Simple harmonic motion (position)
v=-?Acos(?t+?)
??=?t+½at²
?x=vt+½at²
x=Acos(?t+?)

9. Constant acceleration (position)
s=?r
?x=vt+½at²
W=?t????
F=µFN

10. Work
?=v(g/L)
W=?F???x
x=Acos(?t+?)
F=-GMm/r²

11. Constant circular acceleration (velocity)
??=at
Only acting force is gravity - Apparent 'weightlessness'
Momentum is conserved - Kinetic energy is conserved
x=Acos(?t+?)

12. Angular velocity (pendulum SHM)
F=-GMm/r²
?=v(g/L)
If ?F=0 then ?p=0
PE=½kx

13. Angular momentum
Work done is dependent on path taken - Frictional force - most applied forces
KE=½I?²
Momentum is conserved - Kinetic energy is conserved
L=I?

14. Elastic collisions
F=mv²/r
Momentum is conserved - Kinetic energy is conserved
md²x/dt²=-kx
L=I?

15. Mechanical energy (SHM)
ME=½kA²
Only acting force is gravity - Apparent 'weightlessness'
PE=½kx
t=?L/?t

16. Kinetic energy
KE=½mv²
If ?F=0 then ?p=0
Work done is irrespective of path taken - Spring force - gravitational force
Only acting force is gravity - Apparent 'weightlessness'

17. Impulse (integral)
J=?F
?a??b=ABsin?
PE=mgh
?J=??p

18. Rockets
If ?F=0 then ?p=0
v=-?Acos(?t+?)
-dMu=Mdv
?=x/r

19. Shells
F=µFN
Only acting force is gravity - Apparent 'weightlessness'
t=?L/?t
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell

20. Dot product
?=v(g/L)
?a??b=ABcos?
?F=ma
F=mv²/r

21. Differential equation of motion (spring SHM)
md²x/dt²=-kx
?=v(g/L)
t=?F??r
F=-kx

22. Angular acceleration
Momentum is conserved - Kinetic energy is conserved
I=?mr²
a=a/r
s=?r

23. Constant acceleration (velocity)
a=a/r
?=x/r
??=at
?v=at

24. Angular velocity
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
?=v/r
PE=-GMm/r
I=?mr²

25. Conservation of momentum
If ?F=0 then ?p=0
PE=½kx
a=-?²Acos(?t+?)
?=x/r

26. Simple harmonic motion (velocity)
s=?r
Work done is irrespective of path taken - Spring force - gravitational force
v=-?Acos(?t+?)
I=½mr²

27. Gravitational potential energy
-dMu=Mdv
KE=½mv²
?v=at
PE=-GMm/r

28. Potential energy (spring)
I=mr²
Work done is dependent on path taken - Frictional force - most applied forces
PE=½kx
?x=vt+½at²

29. Work (kinetic energy)
?=x/r
W=?KE
?=v/r
KE=½mv²

30. Non-conservative forces
F=-GMm/r²
g=9.8m/s² g=32ft/s²
?=v(k/m)
Work done is dependent on path taken - Frictional force - most applied forces

31. Cross product
?a??b=ABsin?
F=-kx
v=-?Acos(?t+?)
?=v(k/m)

32. Rotational inertia (disc)
x=Acos(?t+?)
?=v/r
PE=mgh
I=½mr²

33. Equilibrium
s=?r
?J=??p
KE=½I?²
?F=0 ?t=0

34. Angular velocity (spring SHM)
?v=at
?=v(k/m)
F=-kx
?=x/r

35. Constant acceleration (no time)
Momentum is conserved - Kinetic energy is not conserved
v²=v0²+2a?x
Work done is dependent on path taken - Frictional force - most applied forces
W=?F

36. Gravity
Work done is dependent on path taken - Frictional force - most applied forces
W=?t????
md²x/dt²=-kx
g=9.8m/s² g=32ft/s²

37. Torque
?F=0 ?t=0
?a??b=ABcos?
t=?F??r
?x=vt+½at²

38. Rotational inertia (sphere)
a=-?²Acos(?t+?)
I=?mr²
W=?F
F=-GMm/r²

39. Angular position
?=x/r
KE=½I?²
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
?v=at

40. Conservative forces
Work done is irrespective of path taken - Spring force - gravitational force
v²=v0²+2a?x
?=x/r
KE=½mv²

41. Torque (force analog)
v²=v0²+2a?x
?v=at
?F=ma
?t=Ia

42. Constant circular acceleration (position)
I=I0+mh²
??=?t+½at²
If ?F=0 then ?p=0
J=?F

43. Constant circular acceleration (no time)
Work done is irrespective of path taken - Spring force - gravitational force
?a??b=ABcos?
x=Acos(?t+?)
?²=?0²+2a??

44. Parellel axis theorem
g=9.8m/s² g=32ft/s²
I=I0+mh²
Work done is dependent on path taken - Frictional force - most applied forces
I=mr²

45. Freefall

46. Kinetic energy (rotational)
KE=½I?²
?F=0 ?t=0
PE=½kx
?J=??p

47. Impulse
?a??b=ABsin?
?J=??p
?a??b=ABcos?
f=1/T

48. Gravitational force
F=-GMm/r²
t=?L/?t
F=-kx
ME=½kA²

49. Torque (angular momentum)
ME=½kA²
t=?L/?t
W=?KE
Only acting force is gravity - Apparent 'weightlessness'

50. Force (radial)
W=?F
F=mv²/r
Momentum is conserved - Kinetic energy is conserved
s=?r