Water enters a hydraulic turbine through a 30-cm-diameter pipe at a rate of 1.1 m3/s and exits through a 25-cm-diameter pipe. the pressure drop in the turbine is measured by a mercury manometer to be 1.2 m. for a combined turbine–generator efficiency of 83 percent, determine the net electric power output. disregard the effect of the kinetic energy correction factors. take the density of water to be 1000 kg/m3 and the density of mercury to be 13,560 kg/m3. the net electric power output is kw.

Two pans of a balance are 24.1 cm apart. the fulcrum of the balance has been shifted 1.33 cm away from the center by a dishonest shopkeeper. by what percentage is the true weight of the goods being marked up by the shopkeeper? assume the balance has negligible mass. answer in units of %.

Why do some scientists and archeologists think that volta was not the first person to build a battery

Now that we have a feel for the state of the circuit in its steady state, let us obtain the expression for the current in the circuit as a function of time. note that we can use the loop rule (going around counterclockwise): e−vr−vl=0. note as well that vr=ir and vl=ldidt. using these equations, we can get, after some rearranging of the variables and making the subsitution x=er−i, dxx=−rldt. integrating both sides of this equation yields x=x0e−rt/l. use this last expression to obtain an expression for i(t). remember that x=er−i and that i0=i(0)=0. express your answer in terms of e, r, and l. you may or may not need all these variables. use the notation exp(x) for ex.