2. 0/2 points | Previous Answers PSE6 26.P.060. My Notes A 12.5 F capacitor has

Question

2. 0/2 points | Previous Answers PSE6 26.P.060. My Notes A 12.5 F capacitor has plates with vacuum between them. Each plate carries a charge of magnitude 1130 pC. A particle with charge-3.00 pC and mass 2.00 x 10-16 kg is fired from the positive plate toward the negative plate with an initial speed of 2.00 x 106 m/s. Does it reach the negative plate? O Yes No If you answered "yes" above, calculate its impact speed NOTE: Enter "O" if it does not reach the negative plate.) m/s If you answered "no" above, how far across the capacitor does it travel? (NOTE: Enter "O" if it reaches the negative plate.)

Explanation / Answer

here,

capacitor , C = 12.5 uF

charge , q = 1130 uC

the potential difference , V = Q/C

V = 90.4 V

let the final speed be v

using work energy theorm

work done by potential = change in kinetic energy

V * q = 0.5 * m * ( v^2 - u^2)

- 90.4 * 3 * 10^-6 = 0.5 * 2 * 10^-16 * ( v^2 - (2 * 10^6)^2 )

solving for v

v = 1.13 * 10^6 m/s

the impact speed is 1.13 * 10^6 m/s

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