To find the total mechanical and electrical energy of the car at 5.0 m above the ground, we need to consider both potential energy and kinetic energy.
The potential energy at a certain height is given by the formula: potential energy = mass * gravity * height.
Given:
Mass of the car (m) = 1,200 kg
Height (h) = 5.0 m
Gravity (g) = 9.8 m/s^2
Potential energy = m * g * h
Potential energy = 1,200 kg * 9.8 m/s^2 * 5.0 m
Potential energy = 58,800 J
The kinetic energy of the car is given by the formula: kinetic energy = 0.5 * mass * velocity^2.
Given:
Mass of the car (m) = 1,200 kg
Velocity (v) = 12 m/s
Kinetic energy = 0.5 * m * v^2
Kinetic energy = 0.5 * 1,200 kg * (12 m/s)^2
Kinetic energy = 86,400 J
The total mechanical and electrical energy of the car at 5.0 m above the ground is the sum of the potential energy and kinetic energy:
Total energy = Potential energy + Kinetic energy
Total energy = 58,800 J + 86,400 J
Total energy = 145,200 J
Therefore, the total mechanical and electrical energy of the car at 5.0 m above the ground is 145,200 J.
