**29. Two particles each have a mass of 6.0 × 10 -3 kg. One has a charge of +5.0

Question

**29.   Two particles each have a mass of 6.0 × 10-3kg. One has a charge of +5.0 × 10-6 C, and theother has a charge of -5.0 × 10-6 C. They areinitially held at rest at a distance of 0.80 m apart. Both are thenreleased and accelerate toward each other. How fast is eachparticle moving when the separation between them is one-third itsinitial value? Each particle is moving at a speed of 9.7 m/s. Two particles each have a mass of 6.0 × 10-3kg. One has a charge of +5.0 × 10-6 C, and theother has a charge of -5.0 × 10-6 C. They areinitially held at rest at a distance of 0.80 m apart. Both are thenreleased and accelerate toward each other. How fast is eachparticle moving when the separation between them is one-third itsinitial value? Each particle is moving at a speed of 9.7 m/s.

Explanation / Answer

    Given        mass of eachparticle   m 1 = m 2 =6*10-3 kg           q 1   = -5.0 × 10-6 C          q2    =   5.0 ×10-6 C      the particles are atrest    kinetic energy on each particle  is zero        separation between them is one-third itsinitial value    r = r / 3             potential energy between two particles is equal to kinetic energyof two particles                      k q1 q2 / r     = (1 /2) m1 v12 + 1 /m2 v22 since the particlesare same with opposite charges       k q2 / r = mv2       9*109 * (5*10-6 C )2 / (0.8/3)   = ( 6*10-3 ) v2    Each particle is moving at aspeed of       v =   11.6.m/s

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