How Do You Derive Formulas from the Work-Kinetic Energy Theorem?

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The discussion focuses on deriving formulas from the Work-Kinetic Energy Theorem, which states that work done is equal to the change in kinetic energy. The derived formulas include expressions for force (F), distance (d), mass (m), velocity squared (v²), and velocity (v). Each formula is correctly calculated based on the relationship between work, force, and kinetic energy. The participant confirms that all derived formulas are accurate. The conversation emphasizes understanding the application of the theorem in various contexts.
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Homework Statement


We have Work=Kinetic Energy which is :
##A=E_k=Fd=\frac{1}{2}mv^2##
Find formulas of :
Force, distance, mass, velocity squared and velocity

Homework Equations


##A=E_k=Fd=\frac{1}{2}mv^2##

The Attempt at a Solution


##F=\frac{\frac{1}{2}mv^2}{d}##

##d=\frac{\frac{1}{2}mv^2}{F}##

##m=\frac{2Fd}{v^2}##

##v^2=\frac{2Fd}{m}##

##v=\sqrt{\frac{2Fd}{m}}##

Are all the formulas right found? Thanks ;)
 
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