Question

The electrons that produce the picture in a

TV set are accelerated by a very large electric
force as they pass through a small region in
the neck of the picture tube. This region is
1.2 cm in length, and the electrons enter with
a speed of 1 × 105 m/s and leave with a speed
of 2.5 × 106 m/s.
What is their acceleration over this 1.2 cm
length?
Answer in units of m/s2

Answer 1

We use the formula:

a = (v^2 - u^2)/2s

a = acceleration = ?
v = final velocity = 2.5x10^6
u = initial Velocity = 1x10^5
s = distance traveled. = 0.012m

To find the acceleration, we need to fill in the variables:
a = ((2.5x10^6)^2 - (1x10^5)^2)/ 2* 0.012 = 260,000,000,000,000 m/s^2

Our acceleration is 2.6 × 10^14 m/s^2