- #1

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## Homework Statement

Using the dyadic form of the velocity dependent mass, find the acceleration vector

**a**of an electron whose initial velocity is

**v**=0.9c

**i**at the instant a force is applied given by:

**F**= F

_{0}(

**i**+

**j**) / [tex]\sqrt{}\pi[/tex]

F

_{0}= 10

^{6}N

**2. The attempt at a solution**

I feel like I've got this to a point, and then I'm not sure how to evaluate the dyadic. So here it is:

After a good bit of math I arrive at:

dv/dt =

**F**c

^{2}/E -

**v**/ E (

**F***

**v**)

which in dyadic form is dv/dt = (c

^{2}/ E)

**F**(

**I**-

**v**

**v**/c

^{2})

That form is the acceleration and is where I draw a blank. The first step would seem to be to plug in the given values for velocity and

**F**, but it still leaves the identity dyad which is what I'm not totally sure how to handle. So; am I going at this correctly, and how do I evaluate the dyad?