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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. Cross product
?a??b=ABsin?
I=mr²
s=?r
J=?F

2. Arc length
Momentum is conserved - Kinetic energy is not conserved
I=I0+mh²
s=?r
KE=½mv²

3. Shells
-dMu=Mdv
?=v/r
KE=½mv²
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell

4. Simple harmonic motion (position)
?a??b=ABsin?
x=Acos(?t+?)
s=?r
v²=v0²+2a?x

5. Conservative forces
Work done is irrespective of path taken - Spring force - gravitational force
I=½mr²
?=v/r
?F=0 ?t=0

6. Torque
?=v(g/L)
t=?F??r
F=?p/?t
?t=Ia

7. Force (radial)
F=mv²/r
?J=??p
v²=v0²+2a?x
W=?F???x

8. Torque (angular momentum)
t=?F??r
md²x/dt²=-kx
t=?L/?t
?v=at

9. Angular acceleration
F=-kx
?x=vt+½at²
??=at
a=a/r

10. Constant acceleration (velocity)
L=I?
W=?t????
?v=at
f=1/T

11. Angular position
?a??b=ABcos?
PE=-GMm/r
?=x/r
?F=0 ?t=0

12. Frictional force
F=µFN
I=I0+mh²
W=?F???x
t=?L/?t

13. Dot product
I=?mr²
?a??b=ABcos?
F=?p/?t
PE=mgh

14. Rockets
-dMu=Mdv
KE=½mv²
If ?F=0 then ?p=0
Work done is dependent on path taken - Frictional force - most applied forces

15. Angular velocity
?=v/r
v=-?Acos(?t+?)
?J=??p
v²=v0²+2a?x

16. Angular velocity (pendulum SHM)
v=-?Acos(?t+?)
?=v(g/L)
W=?KE
F=mv²/r

17. Work
W=?F???x
I=I0+mh²
?=v(g/L)
J=?F

18. Kinetic energy
PE=-GMm/r
KE=½mv²
??=at
?=v/r

19. Rotational Inertia
I=mr²
F=µFN
L=I?
F=?p/?t

20. Parellel axis theorem
I=I0+mh²
W=?F
?=v(k/m)
J=?F

21. Rotational inertia (sphere)
?v=at
I=½mr²
-dMu=Mdv
I=?mr²

22. Mechanical energy (SHM)
W=?t????
f=1/T
ME=½kA²
I=I0+mh²

23. Spring force
I=?mr²
?F=ma
s=?r
F=-kx

24. Impulse
Work done is irrespective of path taken - Spring force - gravitational force
?J=??p
?a??b=ABcos?
??=at

25. Torque (force analog)
md²x/dt²=-kx
?t=Ia
a=a/r
F=-GMm/r²

26. Constant acceleration (no time)
F=mv²/r
?²=?0²+2a??
I=mr²
v²=v0²+2a?x

27. Conservation of momentum
If ?F=0 then ?p=0
?a??b=ABcos?
I=mr²
F=mv²/r

28. Gravitational potential energy
PE=-GMm/r
If ?F=0 then ?p=0
g=9.8m/s² g=32ft/s²
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell

29. Work (integral)
??=?t+½at²
W=?F
?v=at
?x=vt+½at²

30. Simple harmonic motion (velocity)
W=?F
v²=v0²+2a?x
v=-?Acos(?t+?)
?a??b=ABsin?

31. Non-conservative forces
I=mr²
Work done is dependent on path taken - Frictional force - most applied forces
W=?F
v=-?Acos(?t+?)

32. Constant circular acceleration (position)
PE=-GMm/r
??=?t+½at²
W=?F
?a??b=ABsin?

33. Potential energy (gravity)
PE=-GMm/r
PE=mgh
F=mv²/r
KE=½I?²

34. Potential energy (spring)
?=v(k/m)
PE=½kx
?=v/r
s=?r

35. Frequency/Period
?v=at
W=?F???x
v=-?Acos(?t+?)
f=1/T

36. Angular momentum
L=I?
W=?F???x
Momentum is conserved - Kinetic energy is not conserved
?a??b=ABcos?

37. Gravity
x=Acos(?t+?)
md²x/dt²=-kx
g=9.8m/s² g=32ft/s²
??=at

38. Impulse (integral)
W=?KE
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
J=?F
-dMu=Mdv

39. Inelastic collisions
??=at
t=?F??r
v=-?Acos(?t+?)
Momentum is conserved - Kinetic energy is not conserved

40. Equilibrium
F=µFN
?a??b=ABsin?
?F=0 ?t=0
F=?p/?t

41. Kinetic energy (rotational)
I=I0+mh²
?J=??p
KE=½I?²
I=mr²

42. Work (angular)
W=?t????
md²x/dt²=-kx
?=v(k/m)
-dMu=Mdv

43. Freefall

44. Constant circular acceleration (no time)
Momentum is conserved - Kinetic energy is not conserved
g=9.8m/s² g=32ft/s²
KE=½I?²
?²=?0²+2a??

45. Angular velocity (spring SHM)
?x=vt+½at²
W=?F???x
?=v(k/m)
v²=v0²+2a?x

46. Rotational inertia (disc)
KE=½mv²
I=½mr²
KE=½I?²
PE=½kx

47. Work (kinetic energy)
W=?KE
x=Acos(?t+?)
J=?F
Momentum is conserved - Kinetic energy is conserved

48. Differential equation of motion (spring SHM)
F=µFN
md²x/dt²=-kx
F=-GMm/r²
J=?F

49. Force
?²=?0²+2a??
W=?F???x
?F=ma
?F=0 ?t=0

50. Elastic collisions
Work done is dependent on path taken - Frictional force - most applied forces
Momentum is conserved - Kinetic energy is conserved
PE=½kx
?a??b=ABsin?