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Answer :
The initial momentum and initial momentum of colliding system is the same. Hence, the final velocity of the bug-bike-biker system will be 32.92 m/s.
What is conservation of momentum ?
The momentum of an object is the product of its mass and velocity. The total momentum of the a system is constant during a collision. Hence total initial momentum is equal to the total final momentum.
Initial momentum of bug = mass × Velocity
p1 = 6 kg × 45 m/s = 270 kg m/s
initial momentum of bike+ biker = 11 kg + 67 kg) × 45 m/s = 2496 kgm/s.
Then total initial momentum = 270 + 2496 kg m/s. = 2766 kg m/s.
Then total final momentum = (m1 + m2)v = 2496 kgm/s.
p2 = (78 kg + 6 kg)v = 2496 kgm/s.
v = 32.92 m/s.
Therefore, the momentum of the bug-bike-biker system after collision is 32.92 m/s.
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