Answer:
The combined velocity of Sally and the sled is 1.688 meters per second.
Explanation:
Let suppose that Sally collides inelasticly, meaning that final velocity of Sally-sled system can be determined solely by Principle of Momentum Conservation:
[tex]m_{S}\cdot v_{S, o} + m_{s}\cdot v_{s,o} = (m_{S}+m_{s})\cdot v[/tex] (1)
Where:
[tex]m_{S}[/tex] - Mass of Sally, measured in kilograms.
[tex]m_{s}[/tex] - Mass of the sled, measured in kilograms.
[tex]v_{S,o}[/tex] - Initial velocity of Sally, measured in meters per second.
[tex]v_{s,o}[/tex] - Initial velocity of the sled, measured in meters per second.
[tex]v[/tex] - Final velocity of the Sally-sled system, measured in meters per second.
If we know that [tex]m_{S} = 54\,kg[/tex], [tex]m_{s} = 10\,kg[/tex], [tex]v_{S,o} = 2\,\frac{m}{s}[/tex] and [tex]v_{s,o} = 0\,\frac{m}{s}[/tex], then the final velocity of the system is:
[tex]v = \frac{m_{S}\cdot v_{S,o}+m_{s}\cdot v_{s,o}}{m_{S}+m_{s}}[/tex]
[tex]v = 1.688\,\frac{m}{s}[/tex]
The combined velocity of Sally and the sled is 1.688 meters per second.
