Question

Ahmad uses an electric pump to raise water to a reservoir on his farm. The pump is very noisy, and Ahmad’s uncle, who is an engineer, told him that only 50\%50%50, percent of the energy it consumes is delivered as gravitational potential energy to the water. When Ahmad turns off the pump, he notices that when he touches it, it has not warmed up.
What happened to the electrical energy provided to the pump?

a : It mostly transformed into gravitational potential energy, and a small portion transformed into sound.
b : It mostly transformed into sound, and a small portion transformed into gravitational potential energy.
c : It transformed into gravitational potential energy and into sound in equal portions.
d : It mostly transformed into sound energy and gravitational potential energy, and a small portion disappeared.

Answer 1

The principle of conservation of mechanical energy we can find the result of which is the correct statement for the transformation of electrical energy is:

         c : It transformed into gravitational potential energy and into sound in equal portions.

The principle of conservation of energy establishes that energy cannot be created or lost alone or can be transformed, based on this principle the mechanical energy of the system is established as formed by kinetic energy plus the different potential energies.

In this case, the electrical energy is transformed into kinetic energy to raise the water, when it reaches a height where its speed is zero, all the mechanical energy is transformed into gravitational potential energy.

As the pump is not hot, there are no requests for heat and as they indicate that only 50% of the electrical energy was transformed into gravitational potential energy, therefore, since the energy is not lost, the other 50% must be emitted in energy from the sound of the loud pump.

Let's review the claims given:

a. False. They indicate that only 50% was transformed into gravitational potential energy.

b. False. They indicate that 50% is gravitational potential energy.

c. True. As energy is not lost if there is 50% gravitational the other 50% must be sound energy.

d. False. The pump is not hot so there is no thermal loss of energy.

In conclusion, using the principle of conservation of mechanical energy we can find the result of which is the correct statement for the transformation of electrical energy is:

         c : It transformed into gravitational potential energy and into sound in equal portions.

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