KVPY 2019 SA Exam Previous Papers

Question : 29 of 80

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Mass M moving with a certain speed V collides elastically with another stationalry mass m. After the collision the masses M and m move with speeds V' and v respectively. All motion is in one dimension.
then:

V = V' +v
V' = V + v
$V' = (V +v)/2$
v = V + V'

Validate

Solution:

e = 1 = {v - V'}/V

⇒ V = v – V'
V + V' = v

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