Two children (m = 31.0 kg each) stand opposite each other on the edge of a merry-go-round. the merry-go-round, which has a mass of 1.78 ✕ 10^2 kg and a radius of 1.2 m, is spinning at a constant rate of 0.48 rev/s. treat the two children and the merry-go-round as a system. (a) calculate the angular momentum of the system, treating each child as a particle. (give the magnitude.) (b) calculate the total kinetic energy of the system. (c) both children walk half the distance toward the center of the merry-go-round. calculate the final angular speed of the system.

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Answer: a charge of -1.0  × 10⁻⁴ c must be placed  at x = 26 m.the sign of the charge will be the same sign as the  -4.0  µc charge.======electricstatic force between two point charges  is given by    where k is coulomb's constant,  8.99×10⁹  n·m²/c², q₁ and q₂ are the point charges, and r is the distance between the two point charges.assign positive to q₁let q₁ =  6.0 µc, q₂ = -4.0  µc, q₀ represent the charge at the origin, and q₃ represent this new charge to place.the charge at the origin q₀ would experience the following force f₀₁ from q₁, with r = 6.0 m (note that 1  µc = 10⁻⁶ c)    the force from q₂    the force from q₃    the net force on the origin charge, q₀, has to be zero for no electrostatic forcehaving an equation where k and q₀ can be divided out of the equation will allow us to solve for q₃    isolating:     a charge of -1.0  × 10⁻⁴ c must be placed  at x = 26 m.the sign of the charge will be the same as the  -4.0  µc charge

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