The instantaneous power of the engine of the car is 121 kW.
The given parameters:
The force exerted by the car is calculated as follows;
[tex]F = \frac{m(v- u)}{t} \\\\F = \frac{1500(27.78-0)}{5.2 } \\\\F = 8013.46 \ N[/tex]
The total force exerted on the engine is calculated as follows;
[tex]F= 8013.5 \ N + \ 700 \ N\\\\ F = 8713.46 \ N[/tex]
The instantaneous power of the engine is calculated as follows;
[tex]P = F\bar v\\\\P = F \times (\frac{v-u}{2} )\\\\P = 8713.46 \times (\frac{27.78 -0}{2} )\\\\P = 1.21 \times 10^5 \ W\\\\P = 121 \ kW[/tex]
Thus, the instantaneous power of the engine of the car is 121 kW.
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