- #1

- 34

- 0

## Homework Statement

It is not possible to see very small objects, such as viruses, using an ordinary light microscope. An electron microscope can view such objects using an electron beam instead of a light beam. Electron microscopy has proved invaluable for investigations of viruses, cell membranes and subcellular

structures, bacterial surfaces, visual receptors, chloroplasts, and the contractile properties of muscles. The “lenses” of an electron microscope consist of electric and magnetic fields that control the electron beam. As an example of the manipulation of an electron beam, consider an electron traveling away from the origin along the x axis in the xy plane with initial velocity [tex] \mathbf{v_i} = v_i \hat{i} [/tex] . As it passes through the region [tex] x = 0 [/tex] to [tex] x = d [/tex], the electron experiences acceleration [tex] \mathbf{a} = a_x \hat{i} + a_y \hat{j} [/tex],where [tex] a_x [/tex] and [tex] a_y [/tex] are constants. For the case [tex] v_i = 1.80 \times 10000000 [/tex] m/s, [tex] a_x = 8.00 \times 100000000000000 [/tex] m/s^2 and [tex] a_y = 1.60 \times 1015 [/tex] m/s^2, determine

at [tex] x = d = 0.0100 [/tex] m the position of the electron

## Homework Equations

[tex] x_f = x_i + v_xi t + .5 a_x t^2 [/tex]

## The Attempt at a Solution

I can't seem to find the value of t. I've tried reorganizing equations I know that have t in them, but I can't get a value that, when plugged into the position as a function of time equation, makes sense. What am I missing?

Last edited: