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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
KE=½mv²
W=?KE
?F=ma
I=½mr²

2. Constant circular acceleration (velocity)
v²=v0²+2a?x
Work done is irrespective of path taken - Spring force - gravitational force
??=at
W=?t????

3. Angular velocity
?F=ma
Momentum is conserved - Kinetic energy is not conserved
PE=½kx
?=v/r

4. Rotational inertia (disc)
I=½mr²
If ?F=0 then ?p=0
?=x/r
?=v(k/m)

5. Freefall

6. Dot product
?a??b=ABcos?
PE=-GMm/r
PE=mgh
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell

7. Angular position
I=mr²
?=x/r
?F=0 ?t=0
?t=Ia

8. Differential equation of motion (spring SHM)
PE=-GMm/r
s=?r
md²x/dt²=-kx
?v=at

9. Shells
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
md²x/dt²=-kx
s=?r
-dMu=Mdv

10. Simple harmonic motion (acceleration)
a=-?²Acos(?t+?)
Only acting force is gravity - Apparent 'weightlessness'
?a??b=ABsin?
?a??b=ABcos?

11. Kinetic energy
F=?p/?t
KE=½mv²
?J=??p
?F=ma

12. Spring force
s=?r
F=-kx
?=v/r
md²x/dt²=-kx

13. Mechanical energy (SHM)
ME=½kA²
L=I?
?J=??p
?=v(g/L)

14. Kinetic energy (rotational)
I=mr²
ME=½kA²
F=mv²/r
KE=½I?²

15. Work (integral)
f=1/T
PE=½kx
I=?mr²
W=?F

16. Rotational inertia (sphere)
PE=mgh
?J=??p
I=?mr²
Momentum is conserved - Kinetic energy is not conserved

17. Inelastic collisions
I=½mr²
Momentum is conserved - Kinetic energy is not conserved
?x=vt+½at²
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell

18. Force (momentum)
?=x/r
W=?F
??=?t+½at²
F=?p/?t

19. Simple harmonic motion (velocity)
v=-?Acos(?t+?)
?=x/r
W=?KE
md²x/dt²=-kx

20. Gravity
PE=mgh
a=a/r
g=9.8m/s² g=32ft/s²
?a??b=ABcos?

21. Constant circular acceleration (position)
Momentum is conserved - Kinetic energy is conserved
I=mr²
??=?t+½at²
t=?L/?t

22. Torque (force analog)
W=?F???x
g=9.8m/s² g=32ft/s²
Work done is dependent on path taken - Frictional force - most applied forces
?t=Ia

23. Gravitational potential energy
v=-?Acos(?t+?)
PE=mgh
PE=-GMm/r
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell

24. Frictional force
KE=½I?²
v=-?Acos(?t+?)
F=µFN
??=?t+½at²

25. Torque (angular momentum)
I=mr²
F=mv²/r
t=?L/?t
f=1/T

26. Equilibrium
?²=?0²+2a??
?F=0 ?t=0
W=?KE
?=v(g/L)

27. Conservation of momentum
PE=½kx
t=?L/?t
If ?F=0 then ?p=0
Work done is dependent on path taken - Frictional force - most applied forces

28. Simple harmonic motion (position)
x=Acos(?t+?)
?=v(k/m)
F=mv²/r
v²=v0²+2a?x

29. Elastic collisions
v²=v0²+2a?x
a=-?²Acos(?t+?)
Momentum is conserved - Kinetic energy is conserved
PE=-GMm/r

30. Constant acceleration (no time)
-dMu=Mdv
v²=v0²+2a?x
PE=-GMm/r
PE=½kx

31. Potential energy (gravity)
?x=vt+½at²
g=9.8m/s² g=32ft/s²
Momentum is conserved - Kinetic energy is conserved
PE=mgh

32. Work
t=?F??r
I=½mr²
F=µFN
W=?F???x

33. Arc length
?J=??p
If ?F=0 then ?p=0
-dMu=Mdv
s=?r

34. Parellel axis theorem
PE=½kx
I=I0+mh²
KE=½mv²
t=?L/?t

35. Angular acceleration
If ?F=0 then ?p=0
PE=½kx
a=a/r
Work done is dependent on path taken - Frictional force - most applied forces

36. Angular momentum
L=I?
PE=-GMm/r
W=?t????
s=?r

37. Impulse (integral)
?=v(k/m)
J=?F
Momentum is conserved - Kinetic energy is not conserved
s=?r

38. Force (radial)
F=mv²/r
F=-kx
I=½mr²
?J=??p

39. Frequency/Period
t=?F??r
f=1/T
a=-?²Acos(?t+?)
?a??b=ABcos?

40. Constant acceleration (position)
F=-GMm/r²
PE=-GMm/r
?x=vt+½at²
J=?F

41. Torque
W=?F???x
PE=½kx
t=?F??r
Momentum is conserved - Kinetic energy is conserved

42. Angular velocity (pendulum SHM)
t=?F??r
J=?F
W=?KE
?=v(g/L)

43. Work (kinetic energy)
If ?F=0 then ?p=0
W=?KE
?x=vt+½at²
Momentum is conserved - Kinetic energy is not conserved

44. Cross product
md²x/dt²=-kx
?a??b=ABsin?
F=µFN
t=?L/?t

45. Non-conservative forces
Work done is dependent on path taken - Frictional force - most applied forces
I=mr²
F=-kx
?²=?0²+2a??

46. Constant circular acceleration (no time)
?²=?0²+2a??
W=?F
F=mv²/r
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell

47. Gravitational force
W=?KE
Only acting force is gravity - Apparent 'weightlessness'
?F=ma
F=-GMm/r²

48. Conservative forces
?J=??p
md²x/dt²=-kx
Work done is irrespective of path taken - Spring force - gravitational force
L=I?

49. Angular velocity (spring SHM)
L=I?
Work done is irrespective of path taken - Spring force - gravitational force
?=v(k/m)
I=½mr²

50. Impulse
?J=??p
?²=?0²+2a??
?=v(g/L)
?=v/r