A 0.50-kg red cart is moving rightward with a speed of 40 cm/s when it collides
with a 1.50-kg blue cart that is initially at rest. The two carts stick together and
move to the right with a speed of 10 cm/s after the collision,
Enter the momentum values of each individual cart and of the system of two
carts before and after the collision. Also indicate the change in momentum of the
carts and of the system,

Respuesta :

The momentum of the red cart before the collision is 0.2 kgm/s and the blue cart is 0.

The momentum of the red cart after the collision is 0.05 kgm/s and the blue cart is 0.15 kgm/s.

The change in momentum of the system of the carts is 0.

Initial momentum of the carts before collision

The momentum of the carts before the collision is calculated as follows;

P(red) = 0.5 kg x 0.4 m/s = 0.2 kgm/s

P(blue) = 1.5 x 0 = 0

Momentum of the carts after collision

The momentum of the carts after the collision is calculated as follows;

P(red) = 0.5 x 0.1 = 0.05 kgm/s

P(blue) = 1.5 0.1 = 0.15 kgm/s

Change in momentum of the carts

[tex]\Delta P = P_f - P_i[/tex]

ΔP = (0.05 + 0.15) - (0.2)

ΔP = 0

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