Conservation of Momentum Profiency Quiz

Elastic Collisions

objects will bounce off one another

Elastic Collision

Kinetic Energy

will be conserved

Elastic Collision Formula

m₁v_1f + m₂v_2i = m₁v_1f +m₂v_2f

v_1i - v_2i = -(v_1f - v_2f )

Elastic Collision

Special Situations

objects with the same mass, they interchange velocities

object 2 is at rest, then v_{1f =} (m₁ - m_2)/(m₁ + m₂₎ and v_{2f =} (2m₁)_/(m₁ + m₂₎v_1i

Inelastic collision

Objects will bounce off each other and stick together

Inelastic collision

Kinetic energy

will NOT be conserved

Inelastic Collision

Formula

m₁v_1f + m₂v_2i = m₁v_1f +m₂v_2f

Perfectly Inelastic Collision

Objects will stick together

Perfectly Inelastic Collision

Energy

will be dissipated (not conserved)

Perfectly Inelastic Collision

Formula

m₁v_1i + m₂v_2i = (m₁₊m₁)v_f

Explosions

objects start together and break apart into two or more objects

Explosions

Energy

is dissipated (not conserved)

Explosions

Formula

(m₁₊m₁)v_i = m₁v_1f + m₂v_2f