Question

What is the momentum after the collision
What is the momentum of the red cart after the collision
What is the velocity of the red cart after collision

Answer 1

Answer:

The momentum after the collision is $-12kg\cdot m/s$.

The momentum of the red cart after the collision is $-57 kg\cdot m/s$

The velocity of the red cart after the collision is  $-4.75m/s$.

Explanation:

The law of conservation of momentum says that momentum before the collision must equal the momentum after the collision; therefore, the momentum after the collision equals $-12kg\cdot m/s$ (which is the momentum before the collision).

After the collision, the conservation of momentum demands that

$(12kg)v+(20kg)(2.25m/s) = -12kg\cdot m/s$

$(12kg)v = -12(kg\cdot m/s)- 45 (kg\cdot m/s)$

$v = \dfrac{-12(kg\cdot m/s)- 45 (kg\cdot m/s)}{12kg}$

$\boxed{v = -4.75m/s}$

which is the velocity of the red cart after the collision.

Finally, the momentum of the red cart is after the collision is

$P_{red \: cart} = (12kg)(-4.75m/s)$

$\boxed{P_{red \: cart} = -57kg\cdot m/s}$

Thus, the total momentum after the collision is  $-12kg\cdot m/s$, and of the red cart is $-57 kg\cdot m/s$, and the velocity of the red cart after the collision is  $-4.75m/s$.