Answer:
The total energy of the motor of the electric vehicle is 1.902 × 10⁸ joules.
Explanation:
Power is the rate of change of work in time, since given input is average power, the total energy ([tex]\Delta E[/tex]) of the motor of the electric vehicle, measured in joules, is determined by this formula:
[tex]\Delta E = \dot W \cdot \Delta t[/tex]
Where:
[tex]\dot W[/tex] - Average power, measured in watts.
[tex]\Delta t[/tex] - Time, measured in seconds.
Now, let convert average power and time into watts and seconds, respectively:
Average Power
[tex]\dot W = (50\,hp)\times \frac{746\,W}{1\,hp}[/tex]
[tex]\dot W = 3.730\times 10^{4}\,W[/tex]
Time
[tex]\Delta t = (1\,h)\times \frac{3600\,s}{1\,h} + (25\,min)\times \frac{60\,s}{1\,min}[/tex]
[tex]\Delta t = 5.100\times 10^{3}\,s[/tex]
Then, the total energy is:
[tex]\Delta E = (3.730\times 10^{4}\,W)\cdot (5.100\times 10^{3}\,s)[/tex]
[tex]\Delta E = 1.902\times 10^{8}\,J[/tex]
The total energy of the motor of the electric vehicle is 1.902 × 10⁸ joules.
