Question

(b) Two objects of mass 100g and 200 g we moving along the same line and
direction with velocities of 2m/s and 1m/s respectively. They collide and after the
collision, the first object moves at a velocity of 1.67m/s. determine the velocity of
the second object.​

Answer 1

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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