Question

Two balls, red and white, of masses 500 g and 600 g are moving along the same line

and direction with velocities of 8 m/s and 5 m/s respectively. After they collide, the red ball

starts moving with a velocity of 10 m/s. After collision they continue to move in the same

direction. Calculate the velocity of the white ball after the collision.
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Answer 1

Answer:

Answers and the steps in the pic..

Answer 2

Given:-

→ Mass of the red ball = 500g

→ Mass of the white ball = 600g

→ Initial velocity of the red ball = 8m/s

→ Initial velocity of the white ball = 5m/s

→ Final velocity of the red ball = 10m/s

To find:-

→ Velocity of the white ball after collision

[final velocity of the white ball]

Solution:-

Firstly, let's convert the masses of the balls from g to kg.

⇒ 1 g = 0.001kg

⇒ 500g = 500(0.001)

⇒ 0.5kg [red ball]

⇒ 600g = 600(0.001)

⇒ 0.6kg [white ball]

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Since both the balls are moving in the same direction, we will take the initial velocities of both the balls +ve.

According to Law of Conservation of momentum :-

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

Where :-

• m₁ is mass of the red ball.

• m₂ is mass of the white ball.

• u₁ is the initial velocity of the red ball.

• u₂ is initial velocity of white ball.

• v₁ is final velocity of red ball.

• v₂ is final velocity of white ball.

Substituting values, we get :-

⇒0.5(8) + 0.6(5) = 0.5(10) + 0.6(v₂)

⇒ 4 + 3 = 5 + 0.6v₂

⇒ 7 - 5 = 0.6v₂

⇒ 0.6v₂ = 2

⇒ v₂ = 2/0.6

⇒ v₂ = 3.33 m/s

Thus, velocity of the white ball after collision is 3.33m/s .