hey friends plz solve this question with explanation..... plz...
Answers
Answer:
m₁ = mass of first ball = 4 kg
v₁ = velocity of first ball before collision = v
v'₁ = velocity of first ball after collision = v/4
m₂ = mass of second ball = m
v₂ = velocity of second ball before collision = 0
v'₂ = velocity of second ball after collision = ?
using conservation of momentum
m₁ v₁ + m₂ v₂ = m₁ v'₁ + m₂ v'₂
inserting the above values
4 v + m (0) = 4 (v/4) + m v'₂
m v'₂ = 3 v
v'₂ = 3v/m eq-1
using conservation of kinetic energy for the elastic collision
m₁ v²₁ + m₂ v²₂ = m₁ v²'₁ + m₂ v²'₂
4 v² + m (0)² = 4 (v/4)² + m v²'₂
4 v² = (0.25) v² + m v²'₂
(3.75) v² = m v²'₂
using eq-1
(3.75) v² = m (3v/m)²
(3.75) v² = m (9 v²)/m²
(3.75) = (9)/m
m = 9/3.75
m = 2.4 kg
so the correct choice is "C"
Answer:
mass = 2.4kg
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