Two objects of masses 100g and 200g are moving

Asked by admin @ 13/08/2021 in Science viewed by 382 People

Two objects of masses 100g and 200g are moving along the same line and direction with velocities 2m/s and 1m/s respectively .they collide and after collision ,the first object moves at a velocity of 1.67m/s .determine the velocity of second object.

Answered by admin @ 13/08/2021

Answer:

1.165 m/s

Explanation:

Mass of first objects, m₁= 100 g = 0.1 kg

Mass of second object, m₂ = 200 g = 0.2 kg

Velocity of m₁ before collision, v₁= 2 m/s

Velocity of m₂ before collision, v₂ = 1 m/s

Velocity of m₁ after collision, v₃ = 1.67 m/s

Velocity of m₂ after collision = v₄

According to the law of conservation of momentum:

Total momentum before collision = Total momentum after collision

m₁v₁ + m₂v₂ = m₁v₃+ m₂v₄

⇒ 0.1 * 2 + 0.2 * 1 = 0.1 * 1.67 + 0.2 * v₄

⇒ 0.4 = 0.67 + 0.2 * v₄

⇒ v₄ = 1.165 m/s

Hence, the velocity of the second object becomes 1.165 m/s after the collision.

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