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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
Work done is dependent on path taken - Frictional force - most applied forces
Work done is irrespective of path taken - Spring force - gravitational force
W=?KE

2. Constant circular acceleration (position)
??=?t+½at²
t=?F??r
I=½mr²
F=µFN

3. Mechanical energy (SHM)
I=I0+mh²
W=?KE
ME=½kA²
-dMu=Mdv

4. Torque (force analog)
?t=Ia
Momentum is conserved - Kinetic energy is not conserved
KE=½mv²
Work done is irrespective of path taken - Spring force - gravitational force

5. Constant circular acceleration (no time)
?²=?0²+2a??
Only acting force is gravity - Apparent 'weightlessness'
I=I0+mh²
ME=½kA²

6. Cross product
W=?F???x
?a??b=ABsin?
?=v(k/m)
F=-GMm/r²

7. Constant acceleration (velocity)
v=-?Acos(?t+?)
?J=??p
KE=½mv²
?v=at

8. Conservative forces
??=?t+½at²
?F=ma
F=µFN
Work done is irrespective of path taken - Spring force - gravitational force

9. Freefall

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10. Force (radial)
?a??b=ABcos?
?J=??p
Work done is irrespective of path taken - Spring force - gravitational force
F=mv²/r

11. Arc length
?J=??p
F=mv²/r
s=?r
W=?t????

12. Differential equation of motion (spring SHM)
??=at
a=a/r
Momentum is conserved - Kinetic energy is not conserved
md²x/dt²=-kx

13. Potential energy (spring)
W=?F
s=?r
PE=½kx
f=1/T

14. Work (kinetic energy)
?²=?0²+2a??
?F=ma
W=?KE
W=?F???x

15. Gravitational potential energy
PE=-GMm/r
?²=?0²+2a??
?a??b=ABcos?
s=?r

16. Torque (angular momentum)
?=x/r
KE=½mv²
t=?L/?t
x=Acos(?t+?)

17. Angular position
W=?F
I=I0+mh²
?F=ma
?=x/r

18. Simple harmonic motion (acceleration)
?t=Ia
a=-?²Acos(?t+?)
?F=ma
PE=½kx

19. Frequency/Period
Momentum is conserved - Kinetic energy is not conserved
f=1/T
??=at
?v=at

20. Rotational inertia (disc)
s=?r
I=½mr²
F=?p/?t
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell

21. Parellel axis theorem
?a??b=ABsin?
I=I0+mh²
W=?F???x
f=1/T

22. Potential energy (gravity)
g=9.8m/s² g=32ft/s²
PE=mgh
F=-GMm/r²
t=?F??r

23. Gravity
ME=½kA²
W=?KE
g=9.8m/s² g=32ft/s²
W=?F

24. Work (angular)
W=?t????
ME=½kA²
f=1/T
?F=0 ?t=0

25. Spring force
F=-kx
?J=??p
?x=vt+½at²
F=µFN

26. Conservation of momentum
x=Acos(?t+?)
?t=Ia
g=9.8m/s² g=32ft/s²
If ?F=0 then ?p=0

27. Rotational inertia (sphere)
J=?F
PE=-GMm/r
I=?mr²
Only acting force is gravity - Apparent 'weightlessness'

28. Kinetic energy (rotational)
?F=ma
g=9.8m/s² g=32ft/s²
t=?F??r
KE=½I?²

29. Frictional force
I=?mr²
g=9.8m/s² g=32ft/s²
F=µFN
?v=at

30. Kinetic energy
KE=½mv²
PE=½kx
PE=mgh
?a??b=ABsin?

31. Force (momentum)
F=-GMm/r²
I=I0+mh²
F=?p/?t
?v=at

32. Elastic collisions
Momentum is conserved - Kinetic energy is conserved
F=mv²/r
t=?L/?t
f=1/T

33. Constant acceleration (no time)
If ?F=0 then ?p=0
ME=½kA²
v²=v0²+2a?x
I=mr²

34. Simple harmonic motion (position)
x=Acos(?t+?)
?F=0 ?t=0
-dMu=Mdv
PE=-GMm/r

35. Simple harmonic motion (velocity)
v=-?Acos(?t+?)
?=v(k/m)
?v=at
W=?F

36. Rockets
?x=vt+½at²
x=Acos(?t+?)
?=v(k/m)
-dMu=Mdv

37. Gravitational force
F=-GMm/r²
L=I?
PE=-GMm/r
Work done is irrespective of path taken - Spring force - gravitational force

38. Rotational Inertia
?a??b=ABsin?
Momentum is conserved - Kinetic energy is not conserved
I=mr²
J=?F

39. Angular acceleration
?x=vt+½at²
a=a/r
J=?F
g=9.8m/s² g=32ft/s²

40. Equilibrium
I=I0+mh²
?F=0 ?t=0
-dMu=Mdv
F=µFN

41. Shells
F=-GMm/r²
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
a=a/r
?a??b=ABcos?

42. Angular velocity (spring SHM)
x=Acos(?t+?)
?t=Ia
PE=½kx
?=v(k/m)

43. Angular velocity
?x=vt+½at²
W=?F
F=µFN
?=v/r

44. Impulse (integral)
?²=?0²+2a??
J=?F
W=?t????
KE=½I?²

45. Constant circular acceleration (velocity)
??=at
F=?p/?t
F=-GMm/r²
F=-kx

46. Dot product
?a??b=ABcos?
W=?F
F=-GMm/r²
?x=vt+½at²

47. Torque
?F=ma
t=?F??r
Momentum is conserved - Kinetic energy is conserved
F=-GMm/r²

48. Angular velocity (pendulum SHM)
Momentum is conserved - Kinetic energy is not conserved
W=?t????
W=?F
?=v(g/L)

49. Work
t=?L/?t
??=?t+½at²
W=?F???x
?F=ma

50. Force
v=-?Acos(?t+?)
md²x/dt²=-kx
x=Acos(?t+?)
?F=ma