How does work done on the system affect the final velocity of the system
The work done on a system directly affects the final velocity of the system, assuming no other external forces are acting on it.
According to the work-energy principle, the work done on an object is equal to the change in its kinetic energy. Mathematically, this can be expressed as:
Work = Change in Kinetic Energy
If work is done on the system (positive work), it increases the kinetic energy of the system. This, in turn, leads to an increase in the velocity of the system. So, if more work is done on the system, the final velocity will be higher.
Alternatively, if work is done by the system (negative work), it decreases the kinetic energy of the system. This results in a decrease in the velocity of the system. So, if work is done by the system, the final velocity will be lower.
In summary, the work done on the system affects the final velocity. Positive work increases the final velocity, while negative work decreases the final velocity.