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

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SUMMARY

The discussion focuses on calculating final velocity using initial velocity, energy gained, and other parameters. The key equation utilized is the kinetic energy formula, EK = 0.5mv^2, and the change in kinetic energy is expressed as delta (KE) = 0.5*m*(vf - vi)^2. It is clarified that energy refers to the total energy of an object at a specific moment, while change in energy denotes the difference in total energy between two time points. Understanding these distinctions is crucial for solving the problem accurately.

PREREQUISITES
  • Understanding of kinetic energy equations, specifically EK = 0.5mv^2
  • Basic knowledge of physics concepts such as mass, velocity, and energy
  • Familiarity with the concept of change in energy versus total energy
  • Ability to manipulate algebraic equations to solve for unknown variables
NEXT STEPS
  • Study the derivation and application of the kinetic energy formula EK = 0.5mv^2
  • Learn how to apply the concept of change in energy in various physics problems
  • Explore examples of calculating final velocity using initial conditions and energy changes
  • Investigate the relationship between power, time, and energy in mechanical systems
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Students studying physics, particularly those focusing on mechanics, as well as educators and tutors looking to clarify concepts related to kinetic energy 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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