Answer:
[tex]\boxed{\text{10 m/s}}[/tex]
Explanation:
Data:
Cart 1: m₁ = 100 kg; v =15 m/s
Cart 2: m₂ = 50 kg; v₂ = ?
Calculations:
I assume that the two carts are going at the same speed v₂ after the collision.
[tex]\begin{array}{rcl}\text{Momentum before collision} & = & \text{Momentum after collision} \\\text{100 kg} \times\text{15 m/s} & = &\text{100 kg} \times v_{2} + \text{50 kg} \times v_{2}\\\text{1500 m/s} & = & 100 v_{2} +50 v_{2}\\\text{1500 m/s} & = & 150 v_{2}\\v_{2}& =&\textbf{10 m/s}\\\end{array}\\\\\text{The two carts are now moving at a speed of }\boxed{\textbf{10 m/s}}[/tex]
