a fire-man's pump steadily draws water from a river through a pipe with an inlet of diameter 12cm. a fireman positioned 3m above the pump inlet, holds a nozzle with an exit diameter of 3.5cm that is connected to the pump outlet by a flexible hose. if the heat transfer to the surroundings from the pump is 10% of its output, calculate the power required by the pump to deliver a flow rate of 0.015m3/s. assume that the density of water is 998kg/m3 and the gravitational acceleration is 10m/s 2.5kw]

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

Answertechnician (a) is correct;