A point charge of 7.67 x 10-6 C and mass 45.7 x 10-8 kg is in a uniform electric field of 345 N/ C i . Released from rest, the charge is accelerated by the field, obtaining a velocity of 77.5 m/s i. Over what distance did the change its speed?

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A point charge of 7.67 x 10-6 C and mass 45.7 x 10-8 kg is in a uniform electric field of 345 N/ C i . Released from rest, the charge is accelerated by the field, obtaining a velocity of 77.5 m/s i. Over what distance did the change its speed?

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Step 1

When a particle having charge (q) is placed in the electric field, it experiences a force (F) due to the electric field (E) which is given by,

Advanced Physics homework question answer, step 1, image 1

According to Newton’s second law of motion, force is also given by,

Advanced Physics homework question answer, step 1, image 2

From the equations (i) and (ii),

Advanced Physics homework question answer, step 1, image 3

Substituting the known values of moving particle in equation (iii),

Advanced Physics homework question answer, step 1, image 4

Here, (i) represents the direction of acceleration in the x-axis.

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