An electron (mass 9 × 10⁻³¹ kg) is traveling at a speed of 0.96 in an electron accelerator. An electric force of 1.3 × 10⁻¹³ N is applied in the direction of motion while the electron travels a distance of 3 m. You need to find the new speed of the electron.
Which of the following steps must be included in your solution to this problem?

a. Calculate the initial particle energy γi mc² of the electron.
b. Determine how much time it takes to move this distance.
c. Use the final energy of the electron to find its final speed.
d. Calculate the net work done on the electron.
e. Use the formula (1/2) mv² to find the kinetic energy of the electron.
f. Calculate the final particle energy γf mc² of the electron.

A3.9 g aluminum foil ball with a charge of +4.1×10−9 c is suspended on a string in a uniform horizontal e⃗ field. the string deviates to the right and makes an angle of 30∘ with the vertical. part a part complete what information about the e⃗ field can you determine for this situation? what information about the field can you determine for this situation? only the magnitude of e⃗ only the direction of e⃗ both the magnitude and the direction of e⃗ none of the above previous answers correct part b determine the magnitude of the electric field. express your answer with the appropriate units. e e = nothing nothing request answer part c determine the direction of the electric field. determine the direction of the electric field. to the right to the left away from you toward you

An electron moves with a constant horizontal velocity of 3.0 × 106 m/s and no initial vertical velocity as it enters a deflector inside a tv tube. the electron strikes the screen after traveling 26 cm horizontally and 19 cm vertically upward with no horizontal acceleration. what is the constant vertical acceleration provided by the deflector? (the effects of gravity can be ignored.)

How are positive ions different from neutral atoms