HP 50g Graphing, 48gII Graphing manual 1D Elastic Collisions 4, Drag Force 4, Law of Gravitation 4

1D Elastic Collisions (4, 5)

Equations:

v1f =	----------------------m1 – m2	⋅ v1i	v2f =	----------------------2 ⋅ m1	⋅ v1i
	m1 + m2			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= Cd ⋅  ρ ⋅ v2  ⋅ A

2 

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:

⋅  m1 ⋅ m2  F = G  -------------------- 

r2

Example:

Given: m1=2E15_kg, m2=2E18_kg, r=1000000_km.

Solution: F=266903.6_N.

MassEnergy Relation (4, 8)

Equation:

E = m ⋅ c2

Example:

Given: m=9.1E31_kg.

Solution: E=8.1787E14_J.

524 Equation Reference