1. Projectile Motion (vx =)
vx = vi cosΘ
Unit: m/s

2. Projectile Motion (vy =)
vy = vi sinΘ
Unit: m/s

3. Centripetal Acceleration
acp = vt2/r
Unit: m/s2

4. Newton’s First Law
Objects at rest will stay at rest, and objects in motion will stay in motion unless acted on by an outside force.

5. Newton’s Second Law
ΣF = ma
Unit: N

6. For every action there will be an equal and opposite reaction.
Newton’s Third Law
For every action there will be an equal and opposite reaction.
F = -F
Unit: N

7. Weight
W = mg
Unit: N

8. Normal Force (horizontal)
N = mg
Unit: N

9. Normal Force (incline)
N = mg cosΘ
Unit: N

10. Friction
f = μ N
Unit: N

11. Hooke’s Law
F = -kΔx
Unit: N

12. Centripetal Force
Fcp = macp
Fcp = mv2/r
Unit: N

13. Gravitational Force
Fgrav = GM1M2/ r2
Unit: N

14. Work
W = FΔd
Unit: J

15. Work (angle)
W = FΔd cosΘ
Unit: J

16. Power
P = W/t
P=F Δd/t
P=Fv
P= E/t
4 equations!
Unit: Watt

17. Kinetic Energy
KE = ½ mν2
Unit: J

18. Work-Energy Theorem
W = ΔKE = ½ m (vf2 – vi2)
Unit: J

19. Potential Energy (PE)
PE = mgh
Unit: J

20. Potential Energy (U)
U = ½ k (Δx)2
Unit: J

21. Conservation of Energy
KEi + PEi = KEf + PEf
½ mvi2 + mghi = ½ mvf2 + mghf

22. Momentum
p = mv
Unit: kgm/s

23. Impulse (Δp =)
Δp = mΔv
Unit: kgm/s

24. Impulse (J=)
J= FΔt
Unit: kgm/s

25. Conservation of Momentum (elastic)
m1vi1 + m2vi2 = m1vf1 + m2vf2

26. Conservation of Momentum (inelastic)
m1vi1 + m2vi2 = vf (m1 + m2)

27. Wave Speed (ν)
ν = f λ
Unit: m/s

28. Frequency
f = 1/f
Unit: Hz

29. Period
T= 1/f
Unit: s

30. Angular Frequency (ω)
ω = 2πf
Unit: rad/s

31. Period of a Mass on a Spring
T = 2π √(m/k)
Unit: s

32. Period of a Pendulum
T = 2π √(L/g)
Unit: s

33. Speed of Sound
c = 3.0 x 108
Unit: m/s

34. fperceived = forig (v + vD) v + vs
Doppler
fperceived = forig (v + vD)
v + vs
Unit: Hz