Answer :
The mass of ball 1 is 0.43 kg.
What is the mass of ball 1?
The mass of ball 1 is calculated by applying the principle of conservation of linear momentum as shown below.
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
where;
- m₁ is the mass of ball 1
- m₂ is the mass of ball 2
- u₁ is the initial velocity of ball 1
- u₂ is the initial velocity of ball 2
- v₁ is the final velocity of ball 1
- v₂ is the final velocity of ball 2
99m₁ + 0.55 (0) = m₁(0) + 0.55 (78 )
99m₁ = 42.9
m₁ = 42.9 / 99
m₁ = 0.43 kg
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