A body of mass 2 kg moving with velocity of 3 m per second collides head on which a body of mass 1 kg moving with velocity 4 metre per second after collision said the two bodies sticks together and moves with a common velocity which in which in its in the units of metre per second metre per second is equal to
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Given mass of 1 st body m₁ = 2 kg
mass of 2nd body m₂ = 1 kg
Velocity of 1st body v₁ = 3 m/s
Velocity of 2nd body v₂ = 4 m/s
Now momentum of 1st body p₁ = m₁v₁ = 2 × 3 = 6 m/s -----(1)
Momentum of 2nd body p₂ = m₂v₂ = 1 × (-4) = - 4 m/s ------(2)
(considering the bodies are moving towards each other)
Now from conservation of momentum we get
p₁+ p₂ = p -------(3)
Where p = combined momentum of the body after collision.
Reducing the values of 1 and 2 in 3 we get,
6 - 4 = (2+1) v
v = 2/3 = 0.67 m/s
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