Question

the red cart has a mass of 2.0 kg and an initial velocity of 4.0 m/s. the blue cart has a mass of 1.0 kg and an initial velocity of -5.00 m/s. the carts collide in an elastic collision. after the collision the red cart has a velocity of -2.0 m/s. what is the momentum of the red cart after the collision?
$m_1\vec{v}_1 + m_2\vec{v}_2 = m_1\vec{v}_1 + m_2\vec{v}_2$
$vec{p} = mvec{v}$
-13 kg*m/s
-8.0 kg*m/s
-7.0 kg*m/s
-5.0 kg*m/s
-4.0 kg*m/s
-3.0 kg*m/s
no momentum
3.0 kg*m/s

Explanation:

Step1: Identify given values

Red cart: $m_1=2.0\ \text{kg}$, $v_1'=-2.0\ \text{m/s}$

Step2: Apply momentum formula

Momentum $\vec{p}=m\vec{v}$, so substitute values:
$\vec{p}_1' = m_1 v_1' = 2.0\ \text{kg} \times (-2.0\ \text{m/s})$

Answer:

-4.0 kg*m/s