Answer:
Vf = 1.4 m/s
Explanation:
The given equation is
MrVr + MbVb = MtVf
We know that Mr = 2kg, Vr = 2 m/s, Mb = 3 kg and Vb = 1m/s
To fill the chart, we need to replace these values on the given equation and then solve the expression for Vf.
The total mass is the sum of the mass of the red car and the mass of the blue car, so
Mt = Mr + Mb
Mt = 2kg + 3 kg = 5 kg
Therefore, we can solve the expression as:
(2kg)(2m/s) + (3kg)(1m/s) = (5kg)Vf
4 kg m/s + 3 kg m/s = (5kg)Vf
7 kg m/s = (5kg)Vf
(7 kg m/s) ÷ (5 kg) = Vf
1.4 m/s = Vf
So, we can fill the chart as follows
