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JD_PM
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I don't get why ##F \cdot dr = \frac{mv^2}{2}##
I know this has to be really easy but don't see it.
Thanks.
No it is not. ##\vec v^2 = \vec v \cdot \vec v = v^2##.JD_PM said:I see what you mean but that is the vector and not the magnitude
Could you tell me the book's name?JD_PM said:View attachment 240807
View attachment 240808
I don't get why ##F \cdot dr = \frac{mv^2}{2}##
I know this has to be really easy but don't see it.
Thanks.
archaic said:Could you tell me the book's name?
A conservative force field is a type of force field in which the work done by the force on a particle is independent of the path taken by the particle. This means that the total energy of the particle remains constant as it moves within the field.
The main difference between a conservative and non-conservative force field is that in a conservative force field, the work done by the force on a particle only depends on the initial and final positions of the particle, while in a non-conservative force field, the work done also depends on the path taken by the particle.
In a conservative force field, the potential energy of a particle is directly related to the work done by the force on the particle. This means that as the particle moves within the field, its potential energy changes accordingly.
A particle in a conservative force field will move in a way that conserves its total energy. This means that as the particle moves, its kinetic energy may change, but its total energy (the sum of its kinetic and potential energy) remains constant.
Conservative force fields play a crucial role in many areas of physics, such as mechanics, electromagnetism, and thermodynamics. They allow for the conservation of energy and can be used to analyze and predict the motion of particles in various systems.