Anegatively charged chi ri e in(m.589 x 10 s kg, q:-1602x10\", C)isimmersed in a
ID: 3308953 • Letter: A
Question
Anegatively charged chi ri e in(m.589 x 10 s kg, q:-1602x10", C)isimmersed in a unifo electric field of magnitude 1000% Consider a period of time during which the ion travels along a straight line antiparallel to the uniform electric field, moving a distance of 10.00 cm, as shown in the Figure. The ion's initial kinetic energy is equal to 320x10-17 J Assume that the gravitational force acting on the ion is negigible compared to the electrostatic force.) Uniform electric field E (1000 N/C) : 10.00 am . 1. The magnitude of the electric force acting on the lon is equal to a.-100x103%. b.160x10-18 N-.00 x 103 N. d.-160x10-19 N. (9160x10-16N -1.602x10-19 × 1000 2. The electric force acting on the ion is directed a. parallel to the electric field. bantiparallel to the electric field. 3. The work done on the ion by the electric force is equal to 1Q0 C a. 1.60 x 1017J. b. 1.60x10-17J im 60x 10-15J. d. 320x10-17J. e. 1,60x 10-16 J .nwhEssa xio"abL4,2@w.ou) 5. The ion's final kinetic energy is equal to a 160x10-17 J. 20x10-1J. C480x 10-17J d. 192 x 10-1s y e. 192×10-16J 6. The lon's final speed is equal to a. 2.02 x 10 b, 404 x 104%. c. 330x 109 d. 181 x 103 e. L65×104% 7. The lon's acceleration has a magnitude of a. 2.72x 10-17%. b. L70, 10"Y- 272×10, %, c. 170%, d. e. 2.72 x 10 ay e mio"% 8. The ion's acceleration is directed a. parallel to the electric field. b. antiparallel to the electric field. 9. How much time passed as the ion moved the distance d- 10.00 cm? a2.72 ps. b, 27.2 ms c.43.6 s. e. 0.272 ns 2AExplanation / Answer
6) Use work energy theorem
Work done by electric field = change in kinetic energy
qEd = K.E - 3.2 x 10-17
d = 10cm = 0.1m
And K.E = (1/2)mv2
Substitute the values to get
v= 4.04 x 104 m/s (option b)
7) Ion's Acceleration will be
a = qE/m
Substitute the values to get
a=2.716 x 109 m/s (option e)
8) since the charge is negative, the ions Acceleration is directed antiparallel to the electric field (option b).