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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. Simple harmonic motion (position)
x=Acos(?t+?)
F=?p/?t
F=mv²/r
md²x/dt²=-kx

2. Force (radial)
F=-GMm/r²
F=mv²/r
??=at
I=?mr²

3. Potential energy (gravity)
Momentum is conserved - Kinetic energy is conserved
W=?t????
PE=mgh
L=I?

4. Constant circular acceleration (velocity)
?F=0 ?t=0
a=-?²Acos(?t+?)
I=?mr²
??=at

5. Force
a=a/r
?F=ma
Momentum is conserved - Kinetic energy is not conserved
J=?F

6. Angular momentum
?=v/r
L=I?
J=?F
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell

7. Parellel axis theorem
v=-?Acos(?t+?)
I=I0+mh²
a=a/r
PE=-GMm/r

8. Constant acceleration (position)
W=?F???x
?F=0 ?t=0
?x=vt+½at²
KE=½I?²

9. Mechanical energy (SHM)
s=?r
?=x/r
ME=½kA²
?x=vt+½at²

10. Angular velocity (spring SHM)
?²=?0²+2a??
?=v(k/m)
W=?F
t=?L/?t

11. Conservation of momentum
If ?F=0 then ?p=0
??=?t+½at²
g=9.8m/s² g=32ft/s²
?F=0 ?t=0

12. Potential energy (spring)
PE=½kx
Momentum is conserved - Kinetic energy is not conserved
t=?F??r
I=I0+mh²

13. Arc length
F=?p/?t
I=?mr²
v=-?Acos(?t+?)
s=?r

14. Torque (force analog)
x=Acos(?t+?)
?t=Ia
F=-kx
F=?p/?t

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

16. Work (kinetic energy)
W=?KE
?=v(g/L)
?a??b=ABcos?
s=?r

17. Rotational inertia (sphere)
I=?mr²
I=½mr²
?=x/r
s=?r

18. Frictional force
F=µFN
?a??b=ABsin?
?x=vt+½at²
?F=ma

19. Constant circular acceleration (position)
Work done is dependent on path taken - Frictional force - most applied forces
?F=0 ?t=0
F=-GMm/r²
??=?t+½at²

20. Impulse
I=mr²
?J=??p
F=-kx
a=a/r

21. Simple harmonic motion (velocity)
v=-?Acos(?t+?)
F=µFN
F=-GMm/r²
??=at

22. Rotational inertia (disc)
I=½mr²
If ?F=0 then ?p=0
?=v(k/m)
Only acting force is gravity - Apparent 'weightlessness'

23. Torque
?a??b=ABcos?
md²x/dt²=-kx
t=?F??r
?=v(g/L)

24. Non-conservative forces
?a??b=ABcos?
?J=??p
Work done is dependent on path taken - Frictional force - most applied forces
?x=vt+½at²

25. Gravitational force
Work done is dependent on path taken - Frictional force - most applied forces
I=½mr²
F=-GMm/r²
?a??b=ABcos?

26. Conservative forces
F=mv²/r
W=?F
Work done is dependent on path taken - Frictional force - most applied forces
Work done is irrespective of path taken - Spring force - gravitational force

27. Constant circular acceleration (no time)
ME=½kA²
?²=?0²+2a??
W=?F
?v=at

28. Simple harmonic motion (acceleration)
I=I0+mh²
Work done is irrespective of path taken - Spring force - gravitational force
md²x/dt²=-kx
a=-?²Acos(?t+?)

29. Rotational Inertia
I=mr²
F=µFN
md²x/dt²=-kx
?x=vt+½at²

30. Force (momentum)
-dMu=Mdv
?=v/r
F=?p/?t
??=at

31. Inelastic collisions
x=Acos(?t+?)
I=mr²
KE=½mv²
Momentum is conserved - Kinetic energy is not conserved

32. Angular velocity (pendulum SHM)
?F=0 ?t=0
t=?F??r
?=v(g/L)
?t=Ia

33. Angular velocity
?=v/r
If ?F=0 then ?p=0
L=I?
Only acting force is gravity - Apparent 'weightlessness'

34. Frequency/Period
Only acting force is gravity - Apparent 'weightlessness'
Momentum is conserved - Kinetic energy is not conserved
F=µFN
f=1/T

35. Dot product
ME=½kA²
?a??b=ABcos?
a=-?²Acos(?t+?)
Work done is dependent on path taken - Frictional force - most applied forces

36. Angular position
I=mr²
?=x/r
I=½mr²
?=v(g/L)

37. Kinetic energy
??=at
g=9.8m/s² g=32ft/s²
KE=½mv²
v=-?Acos(?t+?)

38. Gravity
s=?r
W=?KE
?a??b=ABsin?
g=9.8m/s² g=32ft/s²

39. Elastic collisions
Momentum is conserved - Kinetic energy is conserved
KE=½I?²
W=?KE
Only acting force is gravity - Apparent 'weightlessness'

40. Shells
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
F=µFN
F=-GMm/r²
v=-?Acos(?t+?)

41. Impulse (integral)
J=?F
?=v(g/L)
W=?t????
F=-kx

42. Torque (angular momentum)
s=?r
?a??b=ABcos?
t=?L/?t
F=-GMm/r²

43. Equilibrium
v=-?Acos(?t+?)
f=1/T
?F=0 ?t=0
?x=vt+½at²

44. Work (angular)
v=-?Acos(?t+?)
W=?t????
-dMu=Mdv
?F=ma

45. Constant acceleration (velocity)
g=9.8m/s² g=32ft/s²
W=?F???x
?v=at
W=?F

46. Kinetic energy (rotational)
ME=½kA²
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
?=x/r
KE=½I?²

47. Rockets
W=?KE
PE=-GMm/r
I=½mr²
-dMu=Mdv

48. Differential equation of motion (spring SHM)
v=-?Acos(?t+?)
?=v/r
md²x/dt²=-kx
f=1/T

49. Cross product
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
?a??b=ABsin?
F=mv²/r
W=?KE

50. Constant acceleration (no time)
?=v(g/L)
?J=??p
v²=v0²+2a?x
Work done is irrespective of path taken - Spring force - gravitational force