Gulag Dam, Yahtzee Dam, and Jinka Rhina Dam have 3 different heights as described in the table below.
Dam Height (m)
Gulag 132
Yahtzee 147
Jinka Rhina 181
Which dam has the ability to produce the most electricity, based only on height?
a
The Gulag because the dam has a shorter drop and the water will have the most potential energy to transfer to the turbine.
b
The Yahtzee because the drop at this height will have the most kinetic energy to transfer to the turbine.
c
The Jinka Rhina because the dam has the largest drop and the water produces the most kinetic energy to transfer to the turbine.
d
It is impossible to determine based on the data in the table.
C. The Jinka Rhina because the dam has the largest drop and the water produces the most kinetic energy to transfer to the turbine.
The correct answer is d) It is impossible to determine based on the data in the table.
To determine which dam has the ability to produce the most electricity based on height, we need to consider the potential energy and kinetic energy of the water flowing through the dam.
Potential energy is given by the equation P.E. = mgh, where m is the mass of the water, g is the acceleration due to gravity (approximately 9.8 m/s^2), and h is the height or drop of the dam.
Since the mass of the water (m) is the same for all the dams, we only need to compare the heights (h) of the dams to determine the potential energy. The higher the dam, the higher the potential energy.
Based on the given heights:
Gulag Dam: 132 m
Yahtzee Dam: 147 m
Jinka Rhina Dam: 181 m
Comparing the heights, we can see that the Jinka Rhina Dam has the largest drop and therefore the highest potential energy.
Therefore, the correct answer is c) The Jinka Rhina dam has the ability to produce the most electricity, based only on height.