Question

compare the total combined momentum of both carts before and after the inelastic collision. what can be said about the momentum of the carts?
$m_1\vec{v}_1 + m_2\vec{v}_2 = (m_1 + m_2)\vec{v}$
$\vec{p} = m\vec{v}$
\bigcirc there is more momentum before collision.
\bigcirc there is more momentum after collision.
\bigcirc there will be the same momentum before and after collision
\bigcirc more information is needed

Explanation:

The given equation \(m_1\vec{v}_1 + m_2\vec{v}_2 = (m_1+m_2)\vec{v}\) expresses the law of conservation of momentum for an inelastic collision, where the total momentum of the system (both carts) before collision equals the total momentum after collision, as no external net force is implied.

Answer:

There will be the same momentum before and after collision