Relation between kinetic energy and electric field
Answers
Energy possed by moving object is called kinetic enery
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For the electric elements based mechanics questions, you need to derive or get some basic or derived quantities of mechanics that are required to get the quantity you need. For example here the question is asking to derive a relation for kinetic energy in terms of electrical quantities.
You know what is kinetic energy and also the basic formula for it in terms of mass and velocity. Formula is KE=1/2*M*V^2………..(1)
And in electricity you know that the force experienced by a charge when it is kept in uniform electric field is given by
F=E*q..……….(2) Where E is electric field intensity and q is charge if particle we considered.
So from equation 2, by substituting mass you can get acceleration the particle will experience.
F=E*q
M*a=E*q
a=E*q/M…………..(3)
And in kinematics you learnt the formula for a particle having uniform acceleration, the velocity gained in 't' seconds is v=a*t……..(4)
Substitute 3 in 4 and then substitute the resultant v in equation 1. Thus you derived a relation between the specified quantities. But I think you must also know the mass too.
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