Elastic Collisions (4, 5); Drag Force (4, 6); Law Of Gravitation (4, 7); Mass-Energy Relation (4, 8) - HP 48gII Advanced User's Reference Manual

1D Elastic Collisions (4, 5)
Equations:
m1 m2 –
v1f = --------------------- - v1i
m1 + m2
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:
F
Example:
Given: Cd=.05, =1000_kg/m^3, A=7.5E6_cm^2, v=35_m/s.
Solution: F=22968750_N.

Law of Gravitation (4, 7)

Equation:
F
Example:
Given: m1=2E15_kg, m2=2E18_kg, r=1000000_km.
Solution: F=266903.6_N.

Mass-Energy Relation (4, 8)

Equation:
Example:
Given: m=9.1E-31_kg.
Solution: E=8.1787E-14_J.
5-24 Equation Reference
2 m1
--------------------- - v1i
v2f =
m1 + m2
2
v
⎛ ⎞ A
- - - - - - - - - - - - -
= C d
⎝ ⎠
2
m1 m2
⎛ ⎞
------------------- -
= G
⎝ ⎠
2
r
2
E = m c