An engine pumps water continuously through a hole. Speed with which water passes through the hole nozzle is 𝑣 and 𝑘 is the mass per unit length of the water jet as it leaves the nozzle. Find the rate at which kinetic energy is being imparted to the water

Question: An engine pumps water continuously through a hole. Speed with which water passes through the hole nozzle is 𝑣 and 𝑘 is the mass per unit length of the water jet as it leaves the nozzle. Find the rate at which kinetic energy is being imparted to the water

(A) \dfrac{1}{2}kv^{2}

(B) \dfrac{1}{2}kv^{3}

(C) \dfrac{v^{2}}{2k}

(D) \dfrac{v^{3}}{2k}

Answer: Option (B)

Solution:

An engine pumps water continuously through a hole. Speed with which water passes through the hole nozzle is 𝑣 and 𝑘 is the mass per unit length of the water jet as it leaves the nozzle. Find the rate at which kinetic energy is being imparted to the water
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