AP Physics C: Mechanics

Instructions:

• Answer 50 questions in 15 minutes.
• If you are not ready to take this test, you can study here.
• Match each statement with the correct term.
• Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

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. Frictional force
??=at
f=1/T
F=µFN
?t=Ia


2. Impulse (integral)
?F=0 ?t=0
J=?F
W=?F???x
KE=½mv²


3. Arc length
s=?r
?a??b=ABsin?
?=v/r
F=mv²/r


4. Differential equation of motion (spring SHM)
md²x/dt²=-kx
F=?p/?t
?F=0 ?t=0
??=at


5. Rotational inertia (disc)
W=?F???x
I=½mr²
a=-?²Acos(?t+?)
??=?t+½at²


6. Work (kinetic energy)
F=mv²/r
J=?F
W=?KE
a=a/r


7. Torque
F=µFN
W=?KE
Only acting force is gravity - Apparent 'weightlessness'
t=?F??r


8. Rockets
-dMu=Mdv
F=-kx
Momentum is conserved - Kinetic energy is conserved
?J=??p


9. Conservative forces
?J=??p
Work done is irrespective of path taken - Spring force - gravitational force
v²=v0²+2a?x
J=?F


10. Rotational inertia (sphere)
F=-kx
I=?mr²
F=µFN
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell


11. Angular position
Momentum is conserved - Kinetic energy is not conserved
?a??b=ABsin?
I=½mr²
?=x/r


12. Simple harmonic motion (position)
F=-kx
x=Acos(?t+?)
Momentum is conserved - Kinetic energy is not conserved
I=?mr²


13. Work (integral)
s=?r
W=?F
a=a/r
f=1/T


14. Simple harmonic motion (velocity)
PE=-GMm/r
?v=at
I=½mr²
v=-?Acos(?t+?)


15. Constant acceleration (no time)
?=v(g/L)
x=Acos(?t+?)
v²=v0²+2a?x
F=mv²/r


16. Potential energy (spring)
Work done is irrespective of path taken - Spring force - gravitational force
ME=½kA²
PE=½kx
PE=-GMm/r


17. Gravitational potential energy
PE=-GMm/r
?=v(k/m)
F=-kx
v=-?Acos(?t+?)


18. Freefall


19. Elastic collisions
v²=v0²+2a?x
?x=vt+½at²
Momentum is conserved - Kinetic energy is conserved
PE=-GMm/r


20. Gravity
??=?t+½at²
g=9.8m/s² g=32ft/s²
F=?p/?t
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell


21. Conservation of momentum
F=?p/?t
?=v(k/m)
If ?F=0 then ?p=0
s=?r


22. Force (momentum)
?F=ma
F=?p/?t
?²=?0²+2a??
md²x/dt²=-kx


23. Angular velocity (pendulum SHM)
?=v(g/L)
?v=at
Work done is irrespective of path taken - Spring force - gravitational force
x=Acos(?t+?)


24. Kinetic energy
KE=½mv²
?F=0 ?t=0
s=?r
v²=v0²+2a?x


25. Torque (force analog)
Only acting force is gravity - Apparent 'weightlessness'
?=v/r
?t=Ia
W=?t????


26. Equilibrium
I=?mr²
?F=0 ?t=0
W=?F???x
?=v(k/m)


27. Potential energy (gravity)
??=at
?=v(k/m)
KE=½mv²
PE=mgh


28. Cross product
I=mr²
F=?p/?t
?a??b=ABsin?
g=9.8m/s² g=32ft/s²


29. Rotational Inertia
KE=½mv²
I=mr²
PE=½kx
?=x/r


30. Kinetic energy (rotational)
KE=½I?²
F=mv²/r
W=?KE
J=?F


31. Impulse
Only acting force is gravity - Apparent 'weightlessness'
W=?KE
?J=??p
v=-?Acos(?t+?)


32. Frequency/Period
Work done is dependent on path taken - Frictional force - most applied forces
f=1/T
?F=ma
PE=-GMm/r


33. Mechanical energy (SHM)
ME=½kA²
PE=mgh
W=?KE
?t=Ia


34. Dot product
?a??b=ABcos?
KE=½I?²
?a??b=ABsin?
Only acting force is gravity - Apparent 'weightlessness'


35. Constant circular acceleration (velocity)
?=v/r
F=-kx
??=at
Work done is dependent on path taken - Frictional force - most applied forces


36. Shells
??=at
v=-?Acos(?t+?)
Objects inside of hollow shells experience no net gravitational force from the mass composing the shell
Work done is irrespective of path taken - Spring force - gravitational force


37. Inelastic collisions
I=I0+mh²
?=v(k/m)
Momentum is conserved - Kinetic energy is not conserved
a=-?²Acos(?t+?)


38. Angular velocity
KE=½I?²
?=v/r
F=µFN
x=Acos(?t+?)


39. Constant acceleration (position)
?F=ma
PE=-GMm/r
?x=vt+½at²
Work done is dependent on path taken - Frictional force - most applied forces


40. Angular momentum
L=I?
J=?F
?²=?0²+2a??
I=½mr²


41. Torque (angular momentum)
PE=-GMm/r
t=?F??r
F=-kx
t=?L/?t


42. Non-conservative forces
I=½mr²
Work done is dependent on path taken - Frictional force - most applied forces
-dMu=Mdv
F=-GMm/r²


43. Simple harmonic motion (acceleration)
a=-?²Acos(?t+?)
F=-GMm/r²
F=-kx
Work done is irrespective of path taken - Spring force - gravitational force


44. Work
x=Acos(?t+?)
g=9.8m/s² g=32ft/s²
W=?F???x
J=?F


45. Constant circular acceleration (position)
??=?t+½at²
J=?F
?a??b=ABcos?
KE=½mv²


46. Force (radial)
?t=Ia
KE=½I?²
t=?L/?t
F=mv²/r


47. Gravitational force
?F=0 ?t=0
?=x/r
F=-GMm/r²
PE=½kx


48. Angular acceleration
I=I0+mh²
a=a/r
F=mv²/r
?=v/r


49. Force
?=x/r
F=mv²/r
?F=ma
PE=-GMm/r


50. Constant acceleration (velocity)
t=?L/?t
?v=at
KE=½mv²
?=v(g/L)