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A blue lab cart is traveling west on a track when it collides with and sticks to a red lab cart traveling east. The magnitude of the momentum of the blue cart before the collision is 2.0 kilogram • meters per second, and the magnitude of the momentum of the red cart before the collision is 3.0 kilogram • meters per second. The magnitude of the total momentum of the two carts after the collision is

(1)1.0 kg • m/s

(2)2.0 kg • m/s

(3)3.0 kg • m/s

(4)5.0 kg • m/s

Verified Answer :

MissPhiladelphia

The momentum of of objects are conserved.

M1 + M2 = Mf


Where M1 is the momentum of blue lab cart before collision


M2 is the momentum of red lab cart before collision


Mf is the final momentum of the 2 object



-2 + 3 = Mf

Mf = 1 kg m/s

batolisis

The magnitude of the total momentum of the two carts after the collision is ; ( 1 ) : 1.0 kg. m/s

Given data :

Magnitude of momentum of blue cart before the collision ( m₁ ) = 2.0 kg.m/s

Magnitude of momentum of red cart before the collision ( m₂ ) = 3.0 kg.m/s

Therefore the magnitude of the total momentum ( Mf )

Mf =  m₁  +  m₂

    =  -2.0 kg.ms + 3.0 kg.m/s

Mf = 1 kg.ms

Hence we can conclude that the magnitude of the total momentum of the two carts after the collision is 1.0 kg.m/s.

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