a Find the charge on each particle C b Find the mass of part

(a) Find the charge on each particle.
C

(b) Find the mass of particle 2.
kg

Solution

(a) Find the charge on each particle.
C

       Particle1 mass   m1 = 5.6x10^-6 kg

Acceleration a1= 4.6x10³ m/s²

Force on m1   F1 = m1a1 = 5.6x4.6x10^-3 N = 25.76x10^-3 N

Let Q be the charge on each particle.

Force between the particles

F = Q²/4₀ r² = 25.76x10^-3 N

Q² = 25.76x4x8.854x10^-12x2.1x10^-2

       = 77.58x10^-14

Charge on each particle Q = 7.758 C

(b) Find the mass of particle 2.
kg

Force on particle 2 = 25.76x10^-3 N

Let m2 be the mass of the particle

Acceleration a2 = 8.5x10³ m/s²

m2a2 = 25.76x10^-3

m2 = 25.76 x10^-3/8.5x10³

       = 3.03x10^-3 kg