Two particles 1 and 2, each carrying 75 pC of charge, are released from rest on

Question

Two particles 1 and 2, each carrying 75 pC of charge, are released from rest on a nonconducting, low-friction track. Particle 1 accelerates initially at 7.0 m/s2 . Particle 2, which has a mass of 0.43 mg , accelerates initially at 9.0 m/s2 .

Part A What is the mass of particle 1? Express your answer with the appropriate units. x..10n value Units m1. Submit My Answers Give U Incorrect: Try Again: 5 attempts remaining Part B What is the separation distance between the particles at the instant they are released? Express your answer with the appropriate units. Value Units Submit My Answers Give U

Explanation / Answer

here,

accelration of particle 1 , a1 = 7 m/s^2

mass of 2 , m2 = 0.43 mg

accelration of particle 2 , a2 = 9 m/s^2

a)

let the mass of particle 1 be m1

m1 * a1 = m2 * a2

m1 * 7 = 0.43 mg * 9

m1 = 0.55 mg = 5.5 * 10^-7 kg

the mass of particle 1 is 5.5 * 10^-7 kg

b)

magnitude of charge , q = 75 pF = 7.5 * 10^-11 F

let the sepration between them be d

k * q^2 /d^2 = m1 * a1

9 * 10^9 * (7.5 * 10^-11)^2 /d^2 = 5.5 * 10^-7 * 7

d = 3.63 * 10^-3 m

the sepration between the charges is 3.63 * 10^-3 m

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