Perfectly Inelastic Collision

Perfectly Inelastic Collision Calculation

Perfectly inelastic collisions in one-dimensional motion.
Mass m moving at speed v₁ collides with mass km moving at speed v₂.
The collision is completely inelastic.
Velocity after the collision is v_f.

k = 9.58
v₁ = 8.47 m/s
v₂ = -4.74 m/s
Calculate v_f

Solution:
m v₁ + km v₂ = (m+km) v_f
m (v₁ + k v₂) = m(1+k) v_f
(v₁ + k v₂) = (1+k) v_f
v_f = (v₁ + k v₂) / (1+k)

Calculation:

k:
v₁ (m/s):
v₂ (m/s):

Velocity after the collision (v_f):