Question

In a certain physics experiment, carts run along a frictionless, level track. Cart A is 1 kg and Cart B is 2 kg. Initially cart A is moving to the right at 3.0 m/s and cart B is moving to the left at 7.0 m/s. After they collide, they stick together. What is the magnitude of the velocity of the two carts?

Answer 1

Answer:$v=-\frac{11}{3} m/s \left$

Explanation:

Given

Mass of car A$\left ( m_a\right )=1 kg$

Mass of car B$\left ( m_b\right )=2 kg$

velocity of cart A=3 m/s

velocity of cart B=-7 m/s

Conserving momentum

$m_au_a+m_bu_b=\left ( m_a+m_b\right )v$

$v=\frac{m_au_a+m_bu_b}{\left ( m_a+m_b\right )}$

$v=-\frac{11}{3} m/s \left ( i.e. in\ left\right )$