High School

Ball #1 is rolling at 99 m/s directly toward a 0.55 kg ball #2 at rest. During the collision, ball #1 stops, and ball #2 is launched forward at 78 m/s. What is the mass of ball #1?

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

Learn more about linear momentum here: https://brainly.com/question/7538238

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