Explanation:
Formula to calculate work done by motor is as follows.
Work done by motor = [tex]mass \times g \times height[/tex]
where, g = gravitational constant = 10 [tex]m/s^{2}[/tex]
Therefore, work done by motor is as follows.
Work done by motor = [tex]1.00 kg \times 10 m/s^{2} \times 10.0 m[/tex]
= 100.0 J
Now, heat lost by water will be calculated as follows.
q = [tex]mC \times \Delta T[/tex]
= [tex]g \times 4.184 J/g^{o}C \times 0.024^{o}C[/tex]
= 10.0 J
Hence, heat gained by motor = heat lost by water
As, heat gained by motor = 10.0 J
So, change in energy = heat gained - work done
Therefore, change in energy will be calculated as follows.
Change in energy = heat gained - work done
= (10.0 J) - (100.0 J)
= -90.0 J
Thus, we can conclude that change in the energy of the battery contents is -90.0 J.
