How do you find final velocity with initial velocity and energy gained?

AI Thread Summary
To find the final velocity using initial velocity and energy gained, the kinetic energy formula EK = 0.5mv^2 can be applied, but it must account for the initial velocity. The change in kinetic energy (delta KE) is calculated as delta KE = 0.5*m*(vf - vi)^2, which incorporates the initial velocity. Understanding the distinction between energy and change in energy is crucial; energy refers to the total energy at a specific moment, while change in energy represents the difference between two states. Therefore, the initial velocity is essential for accurately determining the final velocity. This approach clarifies the relationship between energy changes and velocity calculations.
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Homework Statement


It gives the mass, energy gained (change in energy), initial velocity and power and time
I need to find final velocity

Homework Equations



EK= 0.5mv^2

The Attempt at a Solution


I was thinking of plug in the number into above formula but if i do this i won't be using the initial velocity. Also I'm confused about change in energy and energy.. is there any difference?
 
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You will need the initial velocity because you are given the "Change" in energy.

delta (KE) = 0.5*m*(vf - vi)^2Also the difference between energy and change in energy is simple that, energy is the total energy of a body at a given time. Change in energy is the difference of the total energy at two time instants.

Hope this helps! :smile:
 
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