Question

Discuss the elastic collision of two bodies in one dimension. calculate the velocity of two bodies after the collision. Discuss what happens when both the bodies are of equal mass.​

Answer 1

Explanation:

for elastic collision e = 1

e = relative velocity after collision/relative velocity before collision

let's consider,

before collision after collision

⭕ ⭕ -------------------- ⭕ ⭕

u1 u2 v1 v2

m m m m

so,

$\frac{v2 \: - v1}{u2 - u1} \: = e$

v2-v1/u2-u1 = 1

v2-v1 = u2-u1____________(1)

from momentum conservation,

mu1+mu2 = mv1+mv2

u1+u2 = v1+v2_______________(2)

from equation (1)&(2)

u1 = v1 & u2 = v2

l hope this is sufficient for you