$$W = \frac{1}{2}mv^2$$
Where:
- W is the work done on the system
- m is the mass of the system
- v is the initial velocity of the system
To find the initial velocity, simply rearrange the formula to:
$$v = \sqrt{\frac{2W}{m}}$$
Where the square root represents the positive square root of the expression.
By plugging in the values for W and m, you can calculate the initial velocity (v) of the system.