00:01
To determine the final velocity of the particle using the concept of energy, we can apply the work -energy theorem.
00:07
According to the work -energy theorem, the work done on an object is equal to the change in its kinetic energy.
00:13
The work done on the particle is given by the product of the force applied and the distance over which it acts.
00:29
So in this case, the work is going to be equal to 0 .434 newtons times 0 .169 meters and 0 .434 times 0 .169 is 0 .073346.
00:51
Since the initial kinetic energy of the particle is given by one -half mass times the initial velocity squared, then that would be equal to one -half times 0 .341 kilograms times 2 .3 meters per second squared.
01:25
This calculates to 0 .901945.
01:39
According to the work -energy theorem, the change in kinetic energy is equal to the work done on a particle.
01:51
So the change in kinetic energy is equal to work.
01:54
Therefore, the final kinetic energy minus the initial kinetic energy would be equal to work...