For the questions below, +x is horizontally to the right in the plane of the pag

Question

For the questions below, +x is horizontally to the right in the plane of the page, +y is vertically upward in the plane of the page, and +z is perpendicular to the plane of the page in the outward direction At ti = 0, a particle with q = 0.8 C and m = 0.05 kg is at xi yi = zi = 0 and is moving with Vi = 30 m/s in the +x direction. Ignore gravity; the only force on the particle comes from an electric field, E = 4.25 N/C in the direction of 40° above the +x axis in the x-y plane, tf= 0.25 s. IS Ans wer 0/99 Yf SuomwTries 0/99 What is vxf Suom Are Tries o/99 What is Vyf? Submit Anaeer Tries 0/99 What is the particle's final potential energy, Uef? Submit AnseTries 0/99 What is the electric potential V at the particle's final position? Tries o/99

Explanation / Answer

Fe = q E = (0.8C)(4.25 N/C) = 3.4 N

a = Fe / m = 3.4 / 0.05 = 68 m/s^2

a_x = 68 cos40 = 52 m/s^2 and a_y = 68 sin40 = 43.7 m/s^2

vxf = vi + ax t

vxf = (30) + (52 x 0.25) = 43 m/s ........Ans

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vyf = 0 + (43.7 x 0.25) = 10.9 m/s ........Ans

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Uef = (0.05 x 30^2 / 2 ) - (0.05) (43^2 + 10.9^2)/2 = -26.7 J .....Ans

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Vf = Uef / q = -33.4 Volt

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