An electrically charged point particle with a mass of 1.15 x 10-6 kg is launched
ID: 1282348 • Letter: A
Question
An electrically charged point particle with a mass of 1.15 x 10-6 kg is launched horizontally into a uniform electric field with a magnitude of 938 N/C. The particle's initial velocity is 7.02 m/s, directed eastward, and the external electric field is also directed eastward. A short time after being launched, the particle is 7.73 x 10-3 m below and 0.102 m east of its initial position. Determine the net charge carried by the particle, including the algebraic sign (+ or -).
An electrically charged point particle with a mass of 1.15 x 10-6 kg is launched horizontally into a uniform electric field with a magnitude of 938 N/C. The particle's initial velocity is 7.02 m/s, directed eastward, and the external electric field is also directed eastward. A short time after being launched, the particle is 7.73 x 10-3 m below and 0.102 m east of its initial position. Determine the net charge carried by the particle, including the algebraic sign (+ or -).Explanation / Answer
SY=(1/2)gt2
t=(2s/g)1/2
t=(2*7.73 x 10-3/9.8)0.5=39.7 ms
Sx=ut+(1/2)at2
0.102=ut+(0.5)at2=
(0.5)at2=-0.176 m
a=-224.38 m/s2
ma=qE
q=ma/E=-275.09 nC
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