B. Shown at right are four points near a positively charged rod. Points W and Y are equidistant from the rod, as are points X and Z. A charged particle with mass m, 3 X 10 kg is released from rest at point W and later is observed to pass point X. 1. Is the particle positively or negatively charged? Explain. Z Y W X 2. Suppose that the magnitude of the charge on the particle is 2 X 10° C and that the speed of the particle is 40 m/s as it passes point X. a. Find the change in kinetic energy of the particle as it travels from point W to point X. b. Find the work done on the particle by the electric field between point W and point X. (Hint: See part D of section I.)

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B. Shown at right are four points near a positively
charged rod. Points W and Y are equidistant from the
rod, as are points X and Z. A charged particle with
mass m, = 3 X 10 kg is released from rest at point W
and later is observed to pass point X.
1. Is the particle positively or negatively charged?
Explain.
No
Y
W IX
2. Suppose that the magnitude of the charge on the particle is 2 × 10° C and that the speed
of the particle is 40 m/s as it passes point X.
a. Find the change in kinetic energy of the particle as it travels from point W to point X.
b. Find the work done on the particle by the electric field between point W and point X.
(Hint: See part D of section I.)
c. Find the electric potential difference between point W and point X.
d. If the same particle were released from point Y, would its speed as it passes point Z
be greater than, less than, or equal to 40 m/s? Explain.
3. Suppose that a second particle with the same mass as the first but nine times the charge
(i.e., 18 X 10° C) were released from rest at point W.
a. Would the electric potential difference between points W and X change? If so, how,
if not, why not?
b. Would the speed of the second particle as it passes point X be greater than, less than,
or equal to the speed of the first particle as it passed point X? Explain.
Transcribed Image Text:B. Shown at right are four points near a positively charged rod. Points W and Y are equidistant from the rod, as are points X and Z. A charged particle with mass m, = 3 X 10 kg is released from rest at point W and later is observed to pass point X. 1. Is the particle positively or negatively charged? Explain. No Y W IX 2. Suppose that the magnitude of the charge on the particle is 2 × 10° C and that the speed of the particle is 40 m/s as it passes point X. a. Find the change in kinetic energy of the particle as it travels from point W to point X. b. Find the work done on the particle by the electric field between point W and point X. (Hint: See part D of section I.) c. Find the electric potential difference between point W and point X. d. If the same particle were released from point Y, would its speed as it passes point Z be greater than, less than, or equal to 40 m/s? Explain. 3. Suppose that a second particle with the same mass as the first but nine times the charge (i.e., 18 X 10° C) were released from rest at point W. a. Would the electric potential difference between points W and X change? If so, how, if not, why not? b. Would the speed of the second particle as it passes point X be greater than, less than, or equal to the speed of the first particle as it passed point X? Explain.
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