Answer :
The total momentum of the system after they collide will be equal to 19 kg m/s east. Hence, option A is correct.
What is momentum?
The momentum is the result of a particle's velocity and its mass. Force and motion, meaning it has both magnitude and the direction. According to Isaac Newton's second equation of motion, the force acting on a particle equals the time rate of increase of momentum.
The impulse, which is the product of the force and the intervals (the impulse), is equal to the difference in momentum, according to Newton's 2nd law, if a steady force operates on a particle for a specific amount of time. On the other hand, a particle's momentum is the amount of time needed for a consistent action to fight it to rest.
As per the given information in the question,
Mass, m₁ = 65 kg
Mass, m₂ = 70 kg
Velocity, v₁ = 1.8 m/s
Velocity, v₂ = 1.4 m/s
Use the law of conservation of momentum,
P = m₁v₁ = m₂v₂
Here, P is the total momentum.
⇒ 65 × 1.8 = 78 × 1.4
= 117 east = 98 west
P = 117 - 98
P = 19 kg m/s east.
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