A water jet that leaves a nozzle at 78 m/s at a flow rate of 120 kg/s is to be used to generate power by striking the buckets located on the perimeter of a wheel. Determine the power generation potential of this water jet. Assume that the water jet flows steadily at the specified speed and flow rate. (Round the final answer to two decimal places.) The power generation potential is kW.

The  value is

Explanation:

From the question we are told that

   The  speed of the water jet is  

    The  flow rate of the water jet is  

Generally the mechanically energy possessed by a water flow is mathematically represented as

Here here e  is the specific mechanical energy generated which is mathematically represented as

Here  

     FE - flow  energy

    KE  - kinetic energy

    PE  -  potential energy

Generally give that we are only considering the power generation due to the kinetic energy of the water we have that

Here  

=>    

=>    

i think the answer is a, hope this is right, that would be my best guess.

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min