HP 48GII - Elastic Collisions (4, 5); Drag Force (4, 6); Law of Gravitation (4, 7); Mass-Energy Relation (4, 8)

5-24 Equation Reference
1D Elastic Collisions (4, 5)
Equations:
v1f
m1 m2–
m1 m2+
----------------------
v1i⋅=
v2f
2m1⋅
m1 m2+
----------------------
v1i⋅=
Example:
Given: m1=10_kg, m2=25_kg, vli=100_m/s.
Solution: v1f=-42.8571_m/s, v2f=57.1429_m/s.
Drag Force (4, 6)
Equation:
Example:
Given: Cd=.05,
ρ =1000_kg/m^3, A=7.5E6_cm^2, v=35_m/s.
Solution: F=22968750_N.
Law of Gravitation (4, 7)
Equation:
FG
m1 m2⋅
r
2
--------------------
⎝⎠
⎛⎞
⋅=
Example:
Given: m1=2E15_kg, m2=2E18_kg, r=1000000_km.
Solution: F=266903.6_N.
Mass-Energy Relation (4, 8)
Equation:
Emc
2
⋅=
Example:
Given: m=9.1E-31_kg.
Solution: E=8.1787E-14_J.
F C d
ρ
v
2
⋅
2
- - - - - - - - - - - - -
⎝
⎠
⎛
⎞
A
⋅ ⋅
=