Question

Score: E-peild Imagine a proton moving initially at 2.1x 10 m/s in the positive direction of the x-axis. It moves in a field-free space until it passes by the origin, x-0, where it encounters an electric field directed along the x-axis. (The y and z components of the field are zero everywhere.) The electric potential, vto), associated with this field is shown i the left graph for 0x70 cm. 250 200 E 150 100 8 50 0 10 20 30 40 50 60 70 0 10 20 30 40 50 60 70 Position (cm) Position (cm) A. Estimate the magnitude and state the direction of the electric field at r 24 cm? B. Estimate the magnitude and state the direction ofthe electric field at x = 60 cm? On the right graph add a curve that illustrates how the magnitude of the electric field changes as a function of position in the range 0 < C. 70 cm. Add an appropriate scale to the vertical axis. As the proton moves into the region of space where the electric field is non-zero does the field cause it to speed up or slow down? Explain. D. [For the remaining two questions show your work on the back J E. It is not obvious yet what the fate of the proton is. Since it decelerates while in the field it could come to a complete stop and then accelerate back in the direction from whence it came. Or it could make it all the way through the region of space with a non-zero field and come out the other side, still moving to the right, but at a slower speed. With your classmates identify two energies that can be calculated and compared, which, by doing so, gives convincing proof that the proton makes it through the field and continues on at a slower speed. Describe your reasoning. F. What is the speed of the proton when it is at x-60 cm?

Answer 1