Ared cart moves toward the right at speed v on a frictionless track while a blue cart moves toward it at speed 2v. the mass of the blue cart is m while the mass of the red card is 2m. before the carts collide: (a) what is the momentum of the two-cart system, in terms of m and v?

Net momentum,    

Explanation:

Let m is the mass of blue cart and 2m is the mass of red cart. v is the speed of red cart and 2v is the speed of blue cart. Net momentum is equal to the sum of momentum of blue and red cart.

Net momentum = momentum of red cart + momentum of blue cart

So, the momentum of the two-cart system is 4 mv. Hence, this is the required solution.

what was the acceleration of the 2 kg cart?

⇒ 16.0 cm/s2

what was the acceleration of the 4 kg cart?

⇒ 8.1 cm/s2

what was the acceleration of the 6 kg cart?

⇒ 5.3 cm/s2