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AP Physics B: Formulas

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Answer 50 questions in 15 minutes.
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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. On a banked curve in circular motion - Fn in the y is
added in parallel - measures volts - high resistance
Constructive: 2t=m? - Destructive: 2t=m?+1/2?
Fny=FnCos?
Kavg=(3/2)kbT

2. Simple harmonic motion - pendulum
E=-N Change in flux/?t=Blv (v=velocity of the wire)
Efficiency of an Ideal Engine
T=2pvl/g
P=IV

3. Pressure (2 formulas)
QH=QL +W and e=W/QH
P=F/A=rho(g)h
Vab=Rated voltage-IR (r=internal resistance)
P=W/T=FD/T=FV

4. W
F=Gm1m2/r²
W is positive when work is done on the system - compression - W is negative when work is done by the system - expansion
?v=0 - w=0 area under the curve is zero
PE=1/2kx²

5. Simple density formula
Kinetic Energy
E=F/q (point charge)=KQ1/r² BREAK INTO VECTORS
rho=m/v
V=vFt/(m/l)

6. Simple force equation
P=mv (Kg m/s) or (N s)
V=(331 +.6T) T=temp in Celsius
F=ma
PV=nRT - PV=N (# of molecules)kb (bozons constant)T

7. Standard pressure and temperature and pressure
273K and 1.013E5 pa
T=2pr/v
n1sin?1=n2sin90
Fnet=Fb-Fg

8. Positive torque
counterclockwise
Ft=0
Power from Energy
V=(331 +.6T) T=temp in Celsius

9. Power (circuts)
Fgy=FgSin?
V=(331 +.6T) T=temp in Celsius
R=rho L/A A=cross sectional area
P=IV

10. F(spring) = -kx
V=?f
Pin=Pout=Fin/Ain=Fout/Aout
Force of Spring
W=KEf-KEi

11. F(gravity) = -(Gm1m2/r²)
E=F/q (point charge)=KQ1/r² BREAK INTO VECTORS
J=?vm=F?t
T=2pvm/k
Force of Gravity

12. v² = v0² + 2a(x-x0)
?U=W - no heat added system (Q=0)
Ft=0
Kinematic with Velocity - Acceleration - and Displacement
T=2pvl/g

13. Force on a current carrying wire in a magnetic field
Efficiency of an Ideal Engine
F=Gm1m2/r²
F=BIL
rho=m/v

14. Voltage across a battery terminal
Vab=Rated voltage-IR (r=internal resistance)
P=F/A=rho(g)h
V=(331 +.6T) T=temp in Celsius
Ideal Gas Law

15. Electric field intensity
J=?vm=F?t
I=?q/?t
E=F/q (point charge)=KQ1/r² BREAK INTO VECTORS
Force of Gravity

16. v = v(3RT)/M = v(3KT)/µ
sum of voltages must be zero
PV=nRT - PV=N (# of molecules)kb (bozons constant)T
counterclockwise
Average Speed of each Molecule

17. Power - simple formula (mechanics)
V=Ed
E=-N Change in flux/?t=Blv (v=velocity of the wire)
shows magnetic field created by a current. Thumb in direction of the current - fingers show direction of field
P=W/T=FD/T=FV

18. Centripetal force
in series - measures current - low resistance
f=mv²/r
n1sin?1=n2sin90
Constructive: 2t=m?+1/2? - Destructive: 2t=m?

19. Current
I=?q/?t
W=KEf-KEi
Period in General
P=mv (Kg m/s) or (N s)

20. U(gravitational) = -(Gm1m2/r)
Ug= Gm1m2/r
?U=Q + W - heat added= heat + work
W=Fd=mad - direction of force must be same as direction of distance
Gravitational Potential Energy Anywhere

21. P = F/A
General Pressure
P=IV
Fx=mv²/r=FnSin?
Ug= Gm1m2/r

22. F(buoy) = pVg
Fgx=FgCos?
Q=CV
Archimedes Principle/Bouyancy
Pressure is constant ?P=0 w=-P?V

23. Banked curve - sum of the forces in the y
273K and 1.013E5 pa
Fy=FnCos?-Fg
V=added - Q=constant - C= 1/C
Fgx=FgCos?

24. Vectors in momentum
in series - measures current - low resistance
px and py are conserved
Average Speed of each Molecule
Force of Gravity

25. Force buoyancy (2 formulas)
Fb=mf g= rhof Vf g
General Pressure
P=mv (Kg m/s) or (N s)
Bernoulli Principal

26. Vsound
C=KepA/d
V=(331 +.6T) T=temp in Celsius
V=added - Q=constant - C= 1/C
Power from Energy

27. Pascals principle
P1atm + 1/2rhoV1² + rhogh= P2atm + 1/2rhoV2² + rhogh
Pin=Pout=Fin/Ain=Fout/Aout
F=Gm1m2/r²
V=constant - Q=added - C=added

28. a(centripetal) = v²/r
W=Fd=mad - direction of force must be same as direction of distance
PV=nRT - PV=N (# of molecules)kb (bozons constant)T
billiard balls - no sticking total energy is conserved
Centripetal Acceleration

29. Force on a charged particle in a magnetic field
E=F/q (point charge)=KQ1/r² BREAK INTO VECTORS
F=Bvsin?q
Thermal Conductivity
Fnx=FnSin?

30. Electron volts
V=vFt/(m/l)
F=BIL
1ev=1.6E-19J
Fy=FnCos?-Fg

31. p = mv
1/2QV=U
Momentum
V=W/Q=KQ/r NO VECTORS
1ev=1.6E-19J

32. Period for circular motion
V=IR
F=BIL
T=2pr/v
Ug= Gm1m2/r

33. Couloms law (force between two charged objects)
Vab=Rated voltage-IR (r=internal resistance)
Momentum
F=kQ1Q2/r² BREAK INTO VECTORS
Fgy=FgSin?

34. On an inclined plane - gravity in the y
Fgy=FgSin?
L=n/2?
?U=W - no heat added system (Q=0)
Kavg=(3/2)kbT

35. H = (kA?T)/L
PV=nRT - PV=N (# of molecules)kb (bozons constant)T
E=-N Change in flux/?t=Blv (v=velocity of the wire)
P=mv (Kg m/s) or (N s)
Thermal Conductivity

36. P = P0 + pgh
F=kx
Pressure from Depth
Kinetic Energy
Pressure is constant ?P=0 w=-P?V

37. F-NF or vice versa
1/2QV=U
Fy=FnCos?-Fg
Spring Potential Energy
Constructive: 2t=m?+1/2? - Destructive: 2t=m?

38. Isovolumetric/isochoric
W=KEf-KEi
PE=1/2kx²
?v=0 - w=0 area under the curve is zero
V=W/Q=KQ/r NO VECTORS

39. U(spring) = ½kx²
Fnx=FnSin?
Kinematic with Displacement - Velocity - Acceleration - and Time
A1V1=A2V2
Spring Potential Energy

40. e = abs(W/Q)
Bernoulli Principal
V=W/Q=KQ/r NO VECTORS
Vab=Rated voltage-IR (r=internal resistance)
Efficiency of a Heat Engine

41. Total internal reflection
Ideal Gas Law
n1sin?1=n2sin90
E=F/q (point charge)=KQ1/r² BREAK INTO VECTORS
Archimedes Principle/Bouyancy

42. Series Circuits
V=added - I=constant - R= added
PE=1/2kx²
Kavg=(3/2)kbT
Archimedes Principle/Bouyancy

43. e = (T(hot) - T(cold))/T(hot)
Efficiency of an Ideal Engine
SG=rho object/10³
L=n/2?
Bernoulli Principal

44. Centripetal acceleration
E=F/q (point charge)=KQ1/r² BREAK INTO VECTORS
a=v²/r
n1sin?1=n2sin?2
Kinematic with Velocity - Acceleration - and Time

45. F(friction) = µN
Archimedes Principle/Bouyancy
E=F/q (point charge)=KQ1/r² BREAK INTO VECTORS
shows magnetic field created by a current. Thumb in direction of the current - fingers show direction of field
Force of Friction

46. 1st right hand rule
F=kx
shows magnetic field created by a current. Thumb in direction of the current - fingers show direction of field
Power from Force
Ft=0

47. Period for a pendulum in simple harmonic motion
I=?q/?t
V=?f
Ft=0
T=2pvl/g

48. vrms (2 equations)
P1atm + 1/2rhoV1² + rhogh= P2atm + 1/2rhoV2² + rhogh
Force of Spring
v3kT/m [mass per molecule] - v3RT/M [molar mass]
L=n/2?

49. Thermal expansion
Efficiency of a Heat Engine
Fnet=rhofluid vfluid g -rho object vobject g where the volumes are usually equal
F=kQ1Q2/r² BREAK INTO VECTORS
?L=(coefficient of linear expansion)aLinitial?T

50. Critical speed is
T=2pvm/k
Efficiency of a Heat Engine
Ft=0
on a solenoid wrap finger around direction of current - thumb will point in north pole direction

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AP Physics B: Formulas

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