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Answer :
Final answer:
The total momentum of the running back and linebacker is 10 kg m/s.
Explanation:
The total momentum of the running back and linebacker can be found by adding their individual momenta together.
Momentum is a vector quantity, meaning it has both magnitude and direction. In this case, the running back's momentum is 115 kg m/s east, while the linebacker's momentum is 125 kg m/s west. Since they have opposite directions, we need to subtract their magnitudes to find the total momentum.
Magnitude of the running back's momentum = 115 kg m/s
Magnitude of the linebacker's momentum = 125 kg m/s
Total momentum = 125 kg m/s - 115 kg m/s = 10 kg m/s
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The total momentum when the linebacker collides with the running back is 10kgm/s
What is the law of conservation of linear momentum?
The law of conservation of linear momentum states that in a closed system, when two body collide, the total momentum is always conserved.
There two types of collision; the elastic collision and in elastic collision. In both collision, momentum is always conserved. i.e The momentum before collision is also the momentum after collision.
Since running back and linebacker are moving in opposite direction, the total momentum is p1- p2.
Where p1 is the momentum of linebacker and p2 is the momentum of running back
Therefore the total momentum = 125-115= 10kgm/s
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