Answer:
[tex]E=1.53\times 10^7\ J[/tex]
Explanation:
Given that,
The mass of the car, m = 17,690 kg
The speed of the car over the hill, v = 5 m/s
The car is 87.4 m above the ground.
We need to find the total mechanical energy of the car-Earth system. Mechanical energy is equal to the sum of kinetic energy and potential energy. So,
[tex]E=mgh+\dfrac{1}{2}mv^2\\\\E=17690\times 9.8\times 87.4+\dfrac{1}{2}\times 17690 \times (5)^2\\\\E=1.53\times 10^7\ J[/tex]
So, the total mechanical energy of the car-Earth system is [tex]1.53\times 10^7\ J[/tex].
