A particle with electric charge q moves along a straight line in a uniform electric field E with speed u. The electric force exerted on the charge is qĒ. The velocity of the particle and the electric field are both in the x direc- tion. (a) Show that the acceleration of the particle in the x direction is given by du_ qE u3/2 a dt (b) Discuss the significance of the dependence of the accel- eration on the speed. (c) What If? If the particle starts from rest at x = 0 at i = 0, how would you proceed to find the speed of the particle and its position at time ?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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A particle with electric charge q moves along a straight
line in a uniform electric field E with speed u. The
electric force exerted on the charge is qĒ. The velocity of
the particle and the electric field are both in the x direc-
tion. (a) Show that the acceleration of the particle in the x
direction is given by
du_ qE
u3/2
a
dt
(b) Discuss the significance of the dependence of the accel-
eration on the speed. (c) What If? If the particle starts from
rest at x = 0 at i = 0, how would you proceed to find the
speed of the particle and its position at time ?
Transcribed Image Text:A particle with electric charge q moves along a straight line in a uniform electric field E with speed u. The electric force exerted on the charge is qĒ. The velocity of the particle and the electric field are both in the x direc- tion. (a) Show that the acceleration of the particle in the x direction is given by du_ qE u3/2 a dt (b) Discuss the significance of the dependence of the accel- eration on the speed. (c) What If? If the particle starts from rest at x = 0 at i = 0, how would you proceed to find the speed of the particle and its position at time ?
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