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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. Differential equation of motion (spring SHM)
I=½mr²
If ?F=0 then ?p=0
md²x/dt²=-kx
F=-GMm/r²

2. Potential energy (spring)
?F=ma
?v=at
KE=½mv²
PE=½kx

3. Torque (force analog)
?t=Ia
t=?F??r
Work done is dependent on path taken - Frictional force - most applied forces
If ?F=0 then ?p=0

4. Kinetic energy (rotational)
?²=?0²+2a??
F=µFN
KE=½I?²
W=?F???x

5. Cross product
F=-kx
F=-GMm/r²
?a??b=ABsin?
Momentum is conserved - Kinetic energy is not conserved

6. Force
ME=½kA²
F=?p/?t
?F=ma
W=?t????

7. Kinetic energy
?J=??p
Momentum is conserved - Kinetic energy is conserved
KE=½mv²
W=?F???x

8. Mechanical energy (SHM)
v²=v0²+2a?x
ME=½kA²
J=?F
PE=-GMm/r

9. Potential energy (gravity)
?v=at
PE=mgh
?²=?0²+2a??
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell

10. Angular acceleration
a=a/r
a=-?²Acos(?t+?)
s=?r
?J=??p

11. Constant acceleration (no time)
?F=ma
Work done is irrespective of path taken - Spring force - gravitational force
v²=v0²+2a?x
s=?r

12. Force (radial)
PE=½kx
PE=-GMm/r
F=mv²/r
KE=½mv²

13. Simple harmonic motion (acceleration)
a=-?²Acos(?t+?)
v²=v0²+2a?x
-dMu=Mdv
?v=at

14. Constant circular acceleration (position)
a=-?²Acos(?t+?)
?a??b=ABsin?
??=?t+½at²
F=µFN

15. Constant acceleration (position)
?x=vt+½at²
If ?F=0 then ?p=0
x=Acos(?t+?)
Work done is irrespective of path taken - Spring force - gravitational force

16. Torque
I=mr²
t=?F??r
-dMu=Mdv
PE=mgh

17. Gravitational potential energy
v²=v0²+2a?x
PE=-GMm/r
?²=?0²+2a??
g=9.8m/s² g=32ft/s²

18. Rotational inertia (sphere)
W=?t????
I=?mr²
Work done is irrespective of path taken - Spring force - gravitational force
?v=at

19. Dot product
?a??b=ABcos?
J=?F
?a??b=ABsin?
??=?t+½at²

20. Work (kinetic energy)
v²=v0²+2a?x
I=½mr²
?=v/r
W=?KE

21. Parellel axis theorem
md²x/dt²=-kx
s=?r
I=I0+mh²
?=x/r

22. Frictional force
W=?t????
I=½mr²
Only acting force is gravity - Apparent 'weightlessness'
F=µFN

23. Constant circular acceleration (velocity)
t=?F??r
md²x/dt²=-kx
PE=mgh
??=at

24. Elastic collisions
Momentum is conserved - Kinetic energy is conserved
Only acting force is gravity - Apparent 'weightlessness'
-dMu=Mdv
t=?F??r

25. Arc length
PE=½kx
L=I?
?J=??p
s=?r

26. Rotational Inertia
F=-kx
I=mr²
I=?mr²
?²=?0²+2a??

27. Angular position
PE=mgh
PE=½kx
-dMu=Mdv
?=x/r

28. Rockets
a=a/r
-dMu=Mdv
s=?r
F=mv²/r

29. Impulse (integral)
f=1/T
I=I0+mh²
J=?F
v²=v0²+2a?x

30. Angular velocity (pendulum SHM)
KE=½I?²
F=?p/?t
?=v(g/L)
PE=-GMm/r

31. Freefall

32. Constant circular acceleration (no time)
?²=?0²+2a??
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
t=?F??r
v=-?Acos(?t+?)

33. Work (integral)
x=Acos(?t+?)
W=?F
v²=v0²+2a?x
W=?KE

34. Constant acceleration (velocity)
F=-kx
?v=at
I=?mr²
F=µFN

35. Simple harmonic motion (position)
x=Acos(?t+?)
t=?F??r
?t=Ia
F=mv²/r

36. Shells
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
F=?p/?t
I=I0+mh²
W=?F

37. Angular velocity
F=-GMm/r²
?F=ma
f=1/T
?=v/r

38. Rotational inertia (disc)
I=½mr²
s=?r
Only acting force is gravity - Apparent 'weightlessness'
W=?t????

39. Non-conservative forces
KE=½I?²
Work done is dependent on path taken - Frictional force - most applied forces
?=v(g/L)
W=?F???x

40. Conservative forces
F=mv²/r
g=9.8m/s² g=32ft/s²
KE=½I?²
Work done is irrespective of path taken - Spring force - gravitational force

41. Conservation of momentum
If ?F=0 then ?p=0
W=?KE
?=v(g/L)
s=?r

42. Torque (angular momentum)
F=-kx
If ?F=0 then ?p=0
t=?L/?t
-dMu=Mdv

43. Spring force
?=x/r
Momentum is conserved - Kinetic energy is conserved
F=-kx
I=I0+mh²

44. Work
x=Acos(?t+?)
W=?F???x
W=?F
?a??b=ABsin?

45. Equilibrium
J=?F
?v=at
?x=vt+½at²
?F=0 ?t=0

46. Angular velocity (spring SHM)
?=v/r
W=?t????
?=v(k/m)
g=9.8m/s² g=32ft/s²

47. Work (angular)
?F=0 ?t=0
W=?t????
I=½mr²
x=Acos(?t+?)

48. Gravity
?J=??p
g=9.8m/s² g=32ft/s²
?²=?0²+2a??
KE=½mv²

49. Force (momentum)
??=?t+½at²
F=?p/?t
I=?mr²
?F=ma

50. Gravitational force
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
t=?L/?t
If ?F=0 then ?p=0
F=-GMm/r²