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Force and Laws of Motion
two objects of masses 100 g and 200 g are moving a...

Question:
Two objects of masses 100 g and 200 g are moving along the same line and direction with velocities of 2 m s^-1 and 1 m s^-1, respectively. They collide and after the collision, the first object moves at a velocity of 1.67 m s^-1. Determine the velocity of the second object.

Answer:

Mass of one of the objects, m₁ = 100 g = 100/1000 = 0.1 kg

Mass of the other object, m₂ = 200 g = 200/1000 = 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 = ?

By 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 = 0.167 + 0.2v₄

v₄ = 1.165 m/s

The velocity of the second object after collision 1.165 m/s.

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Question:
Two objects of masses 100 g and 200 g are moving along the same line and direction with velocities of 2 m s^-1 and 1 m s^-1, respectively. They collide and after the collision, the first object moves at a velocity of 1.67 m s^-1. Determine the velocity of the second object.

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

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Question:
Two objects of masses 100 g and 200 g are moving along the same line and direction with velocities of 2 m s^-1 and 1 m s^-1, respectively. They collide and after the collision, the first object moves at a velocity of 1.67 m s^-1. Determine the velocity of the second object.