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An engine pumps water continously through a hose. Water leave the hose with a velocity `v` and `m` is the mass per unit length of the Water jet. What is the rate at Which kinetic energy is imparted to water?A. `(1)/(2) mv^3`B. `mv^3`C. `(1)/(2) mv^2`D. `(1)/(2) m^2 v^3` |
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Answer» Correct Answer - A Rate at which kinetic energy is imparted `(d K)/(dt) = (d)/(dt) ((1)/(2) M_0 v^2) = (v^2)/(2) (d M_0)/(dt)` =`(v^2)/(2) (d M_0)/( dl) xx (dl)/(dt) = (v^2)/(2) mv = (1)/(2) m v^3`. |
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