please answer my this mark Question number 4 please in answer in short
Answers
Given :
mass of first object ( m₁ ) = 100 g
mass of second object ( m₂ ) = 200 g
first velocity of first object ( v₁ ) = 1 m/s
second velocity of first object ( v₂ ) = 1.67 m/s
first velocity of second object ( v₃ ) = 2 m/s
second velocity of second object ( v₄ ) = ?
Initial momentum = final momentum [ no external force ]
Initial momentum
Momentum = mass × velocity
Momentum of the two objects initially will be the sum of the initial momentum of the two objects
= m₁v₁ + m₂v₃
= ( 100 × 2 ) + ( 200 × 1 )
= 200 + 200
= 400
Final momentum
Momentum = mass × velocity
Momentum of the two objects finally will be the sum of the final momentum of the two objects
= m₁v₂ + m₂v₄
= 100 × 1.67 + 200 × v
= 167 + 200 v
Initial momentum = final momentum
⇒ 167 + 200 v = 400
⇒ 200 v = 400 - 167
⇒ 200 v = 233
⇒ v = 233 / 200
⇒ v = 1.165
The velocity will be 1.165 m/s
Sorry for late