(a) What analysis model describes the horizontal motion of the protons above the

Question

(a) What analysis model describes the horizontal motion of the protons above the plane?

a-particle under constant velocity

b-particle under constant acceleration

c-particle in uniform circular motion

d-particle in simple harmonic motion

(b) What analysis model describes the vertical motion of the protons above the plane?

a-particle under constant velocity

b-particle under constant acceleration

c-particle in uniform circular motion

d-particle in simple harmonic motion

(c) Argue that R =(vi2 sin 2?i ) /g would be applicable to the protons in this situation.

(d) Use R =(vi2 sin 2?i ) /g   to write an expression for R in terms of vi, E, the charge and mass of the proton, and the angle ?. (Use the following as necessary: vi, e, E, ?, and mp for the mass of proton.)

R=_________________

(e) Find the two possible values of the angle ?. (Enter your answers from smallest to largest.)

_______________________

Explanation / Answer

a)   no force in horizontal direction , so

a-particle under constant velocity

b) there constant force acting downwards due toelectric field.
so constant acc. donwrads/.
b-particle under constant acceleration

c) yes, here g = acc. due to electric field/

d) a = qE/mp
so R = Vi^2 sin2@ / (qe/mp)
R = Mp. Vi^2 sin2@   / qE

e) 1.14 x10-3    = 1.67x10-27 x 9060^2 x sin(2@) / 1.6 x10-19 x 720
sin(2@) = 0.958
2@ = 73.34 degrees , 106.66 degrees
@ = 53.32 degreed , 36.67 degrees

f) T = 2usin@ / g
calulate

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