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:

ρ ⋅ v2

F = Cd ⋅ ------------⋅ 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.

Mass-Energy Relation (4, 8)

Equation:

E = m ⋅ c2

Example:

Given: m=9.1E-31_kg.

Solution: E=8.1787E-14_J.

5-24 Equation Reference