Two objects of masses 4 kg and 6 kg are moving in the same straight line towards each other with velocities 2 m/s and 3 m/s respectively. After collision, both objects starts moving in opposite directions. If velocity of object 4 kg mass is 4 m/s then find the velocity of another object
Answers
Given : Two objects of masses 4 kg and 6 kg are moving in the same straight line towards each other with velocities 2 m/s and 3 m/s respectively.
After collision, both objects starts moving in opposite directions.
If velocity of object 4 kg mass is 4 m/s
To find : the velocity of another object
Solution:
m₁ = 4 kg
u₁ = 2 m/s
m₂ = 6 kg
u₂ = -3 m/s ( took direction of mass 4 kg as + ve hence mass 6 kg is - ve)
v₁ = -4 m/s ( reversed the direction)
v₂ = ? m/s
Law of conservation of the momentum
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
=> 4*2 + 6 * (-3) = 4(-4) + 6(v₂)
=> 8 - 18 = -16 + 6(v₂)
=> 6= 6(v₂)
=> 1 = v₂
Hence velocity of another object is 1 m/s
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